Linear Pro-p-Groups of Finite Width

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Publisher : Springer
ISBN 13 : 3540696237
Total Pages : 123 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Linear Pro-p-Groups of Finite Width by : Gundel Klaas

Download or read book Linear Pro-p-Groups of Finite Width written by Gundel Klaas and published by Springer. This book was released on 2006-11-14 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristic p analogues are investigated. These groups have finite width, i.e. the indices of the sucessive terms of the lower central series are bounded since they become periodic. The richness of the lattice of normal subgroups is studied by the notion of obliquity. All just infinite maximal groups with Lie algebras up to dimension 14 and most Chevalley groups and classical groups in characteristic 0 and p are covered. The methods use computers in small cases and are purely theoretical for the infinite series using root systems or orders with involutions.

New Horizons in pro-p Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1461213800
Total Pages : 434 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis New Horizons in pro-p Groups by : Marcus du Sautoy

Download or read book New Horizons in pro-p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order

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Publisher : Springer
ISBN 13 : 3540454233
Total Pages : 161 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order by : Yorck Sommerhäuser

Download or read book Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order written by Yorck Sommerhäuser and published by Springer. This book was released on 2004-10-19 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.

Symmetries in Algebra and Number Theory (SANT)

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Publisher : Universitätsverlag Göttingen
ISBN 13 : 3940344966
Total Pages : 213 pages
Book Rating : 4.9/5 (43 download)

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Book Synopsis Symmetries in Algebra and Number Theory (SANT) by : Ina Kersten

Download or read book Symmetries in Algebra and Number Theory (SANT) written by Ina Kersten and published by Universitätsverlag Göttingen. This book was released on 2009 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4e de couverture : "These proceedings contain most of the contributions to the Göttingen-Jerusalem Conference 2008 on "Symmetries in Algebra and Number Theory" including three addresses given at the conference opening, and two contributions to the Satellite Conference "On the Legacy of Hermann Weyl". The contributions are survey articles or report on recent work by the authors, for exemple new results on the famous Leopoldt conjecture."

Algorithmic Algebra and Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 364259932X
Total Pages : 431 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Algorithmic Algebra and Number Theory by : B.Heinrich Matzat

Download or read book Algorithmic Algebra and Number Theory written by B.Heinrich Matzat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 22 lectures presented at the final conference of the Ger man research program (Schwerpunktprogramm) Algorithmic Number The ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein schaft. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and researchers using com putational methods to gain insight into experimental problems and theoret ical questions in algebra and number theory. The book gives an overview on algorithmic methods and on results ob tained during this period. This includes survey articles on the main research projects within the program: • algorithmic number theory emphasizing class field theory, constructive Galois theory, computational aspects of modular forms and of Drinfeld modules • computational algebraic geometry including real quantifier elimination and real algebraic geometry, and invariant theory of finite groups • computational aspects of presentations and representations of groups, especially finite groups of Lie type and their Heeke algebras, and of the isomorphism problem in group theory. Some of the articles illustrate the current state of computer algebra sys tems and program packages developed with support by the research pro gram, such as KANT and LiDIA for algebraic number theory, SINGULAR, RED LOG and INVAR for commutative algebra and invariant theory respec tively, and GAP, SYSYPHOS and CHEVIE for group theory and representation theory.

Harmonic Functions on Groups and Fourier Algebras

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Publisher : Springer
ISBN 13 : 3540477934
Total Pages : 113 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Harmonic Functions on Groups and Fourier Algebras by : Cho-Ho Chu

Download or read book Harmonic Functions on Groups and Fourier Algebras written by Cho-Ho Chu and published by Springer. This book was released on 2004-10-11 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals.

Differentiability of Six Operators on Nonsmooth Functions and P-Variation

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Publisher : Springer Science & Business
ISBN 13 : 9783540659754
Total Pages : 300 pages
Book Rating : 4.6/5 (597 download)

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Book Synopsis Differentiability of Six Operators on Nonsmooth Functions and P-Variation by : R. M. Dudley

Download or read book Differentiability of Six Operators on Nonsmooth Functions and P-Variation written by R. M. Dudley and published by Springer Science & Business. This book was released on 1999-06-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.

Consistency Problems for Heath-Jarrow-Morton Interest Rate Models

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540414933
Total Pages : 148 pages
Book Rating : 4.4/5 (149 download)

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Book Synopsis Consistency Problems for Heath-Jarrow-Morton Interest Rate Models by : Damir Filipovic

Download or read book Consistency Problems for Heath-Jarrow-Morton Interest Rate Models written by Damir Filipovic and published by Springer Science & Business Media. This book was released on 2001-03-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.

Seminaire de Probabilites XXXV

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540416593
Total Pages : 444 pages
Book Rating : 4.4/5 (165 download)

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Book Synopsis Seminaire de Probabilites XXXV by : J. Azema

Download or read book Seminaire de Probabilites XXXV written by J. Azema and published by Springer Science & Business Media. This book was released on 2001-04-10 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers and graduate students in the theory of stochastic processes will find in this 35th volume some thirty articles on martingale theory, martingales and finance, analytical inequalities and semigroups, stochastic differential equations, functionals of Brownian motion and of Lévy processes. Ledoux's article contains a self-contained introduction to the use of semigroups in spectral gaps and logarithmic Sobolev inequalities; the contribution by Emery and Schachermayer includes an exposition for probabilists of Vershik's theory of backward discrete filtrations.

Geometric Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540442424
Total Pages : 292 pages
Book Rating : 4.4/5 (424 download)

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Book Synopsis Geometric Mechanics by : Waldyr M. Oliva

Download or read book Geometric Mechanics written by Waldyr M. Oliva and published by Springer Science & Business Media. This book was released on 2002-10-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.

The Red Book of Varieties and Schemes

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540632931
Total Pages : 324 pages
Book Rating : 4.6/5 (329 download)

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Book Synopsis The Red Book of Varieties and Schemes by : David Mumford

Download or read book The Red Book of Varieties and Schemes written by David Mumford and published by Springer Science & Business Media. This book was released on 1999-09-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.

Noncommutative Gröbner Bases and Filtered-Graded Transfer

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Publisher : Springer
ISBN 13 : 3540457658
Total Pages : 205 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Noncommutative Gröbner Bases and Filtered-Graded Transfer by : Huishi Li

Download or read book Noncommutative Gröbner Bases and Filtered-Graded Transfer written by Huishi Li and published by Springer. This book was released on 2004-10-19 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.

Geometric, Control and Numerical Aspects of Nonholonomic Systems

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Publisher : Springer
ISBN 13 : 3540457305
Total Pages : 235 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Geometric, Control and Numerical Aspects of Nonholonomic Systems by : Jorge Cortés Monforte

Download or read book Geometric, Control and Numerical Aspects of Nonholonomic Systems written by Jorge Cortés Monforte and published by Springer. This book was released on 2004-10-19 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

Variational Methods for Crystalline Microstructure - Analysis and Computation

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Publisher : Springer
ISBN 13 : 3540361251
Total Pages : 223 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Variational Methods for Crystalline Microstructure - Analysis and Computation by : Georg Dolzmann

Download or read book Variational Methods for Crystalline Microstructure - Analysis and Computation written by Georg Dolzmann and published by Springer. This book was released on 2004-10-23 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.

Flows on 2-dimensional Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540660804
Total Pages : 324 pages
Book Rating : 4.6/5 (68 download)

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Book Synopsis Flows on 2-dimensional Manifolds by : Igor Nikolaev

Download or read book Flows on 2-dimensional Manifolds written by Igor Nikolaev and published by Springer Science & Business Media. This book was released on 1999-07-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.

The Cauchy Problem for Higher Order Abstract Differential Equations

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Publisher : Springer
ISBN 13 : 3540494790
Total Pages : 314 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis The Cauchy Problem for Higher Order Abstract Differential Equations by : Ti-Jun Xiao

Download or read book The Cauchy Problem for Higher Order Abstract Differential Equations written by Ti-Jun Xiao and published by Springer. This book was released on 2013-12-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.

Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540219224
Total Pages : 262 pages
Book Rating : 4.2/5 (192 download)

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Book Synopsis Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by : Min Ho Lee

Download or read book Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms written by Min Ho Lee and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.