Quantization on Nilpotent Lie Groups

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Publisher : Birkhäuser
ISBN 13 : 3319295586
Total Pages : 557 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quantization on Nilpotent Lie Groups by : Veronique Fischer

Download or read book Quantization on Nilpotent Lie Groups written by Veronique Fischer and published by Birkhäuser. This book was released on 2016-03-08 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.

Nilpotent Groups and their Automorphisms

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110846217
Total Pages : 269 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Nilpotent Groups and their Automorphisms by : Evgenii I. Khukhro

Download or read book Nilpotent Groups and their Automorphisms written by Evgenii I. Khukhro and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Lecture Notes on Nilpotent Groups

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Publisher : Amer Mathematical Society
ISBN 13 : 9780821841570
Total Pages : 73 pages
Book Rating : 4.8/5 (415 download)

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Book Synopsis Lecture Notes on Nilpotent Groups by : Gilbert Baumslag

Download or read book Lecture Notes on Nilpotent Groups written by Gilbert Baumslag and published by Amer Mathematical Society. This book was released on 1971 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nilpotent Groups and Their Automorphisms

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 9783110136722
Total Pages : 276 pages
Book Rating : 4.1/5 (367 download)

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Book Synopsis Nilpotent Groups and Their Automorphisms by : Evgenii I. Khukhro

Download or read book Nilpotent Groups and Their Automorphisms written by Evgenii I. Khukhro and published by Walter de Gruyter. This book was released on 1993 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Nilpotent Groups

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Publisher : Springer
ISBN 13 : 3540382054
Total Pages : 123 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Nilpotent Groups by : R.B. Jr. Warfield

Download or read book Nilpotent Groups written by R.B. Jr. Warfield 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 Theory of Nilpotent Groups

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Author :
Publisher : Birkhäuser
ISBN 13 : 3319662139
Total Pages : 307 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Theory of Nilpotent Groups by : Anthony E. Clement

Download or read book The Theory of Nilpotent Groups written by Anthony E. Clement and published by Birkhäuser. This book was released on 2017-11-18 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic. While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume. Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them. Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms. Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

Localization of Nilpotent Groups and Spaces

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Publisher : Elsevier
ISBN 13 : 1483258742
Total Pages : 166 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Localization of Nilpotent Groups and Spaces by : Peter Hilton

Download or read book Localization of Nilpotent Groups and Spaces written by Peter Hilton and published by Elsevier. This book was released on 2016-06-03 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Mathematics Studies, 15: Localization of Nilpotent Groups and Spaces focuses on the application of localization methods to nilpotent groups and spaces. The book first discusses the localization of nilpotent groups, including localization theory of nilpotent groups, properties of localization in N, further properties of localization, actions of a nilpotent group on an abelian group, and generalized Serre classes of groups. The book then examines homotopy types, as well as mixing of homotopy types, localizing H-spaces, main (pullback) theorem, quasifinite nilpotent spaces, localization of nilpotent complexes, and nilpotent spaces. The manuscript takes a look at the applications of localization theory, including genus and H-spaces, finite H-spaces, and non-cancellation phenomena. The publication is a vital source of data for mathematicians and researchers interested in the localization of nilpotent groups and spaces.

Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821869205
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras by : Martin W. Liebeck

Download or read book Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 2012-01-25 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras. These topics have been an important area of study for decades, with applications to representation theory, character theory, the subgroup structure of algebraic groups and finite groups, and the classification of the finite simple groups. The main focus is on obtaining full information on class representatives and centralizers of unipotent and nilpotent elements. Although there is a substantial literature on this topic, this book is the first single source where such information is presented completely in all characteristics. In addition, many of the results are new--for example, those concerning centralizers of nilpotent elements in small characteristics. Indeed, the whole approach, while using some ideas from the literature, is novel, and yields many new general and specific facts concerning the structure and embeddings of centralizers.

Topics in Groups and Geometry

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Publisher : Springer Nature
ISBN 13 : 3030881091
Total Pages : 468 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Topics in Groups and Geometry by : Tullio Ceccherini-Silberstein

Download or read book Topics in Groups and Geometry written by Tullio Ceccherini-Silberstein and published by Springer Nature. This book was released on 2022-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today. The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem. The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.

Lie Algebras and Algebraic Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540241706
Total Pages : 676 pages
Book Rating : 4.2/5 (417 download)

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Book Synopsis Lie Algebras and Algebraic Groups by : Patrice Tauvel

Download or read book Lie Algebras and Algebraic Groups written by Patrice Tauvel and published by Springer Science & Business Media. This book was released on 2005-04-25 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.

Crystallographic Groups and Their Generalizations

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Publisher : American Mathematical Soc.
ISBN 13 : 082182001X
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Crystallographic Groups and Their Generalizations by : Paul Igodt

Download or read book Crystallographic Groups and Their Generalizations written by Paul Igodt and published by American Mathematical Soc.. This book was released on 2000 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.

Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups

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Publisher : World Scientific
ISBN 13 : 9789810217952
Total Pages : 324 pages
Book Rating : 4.2/5 (179 download)

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Book Synopsis Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups by : Martyn Russell Dixon

Download or read book Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups written by Martyn Russell Dixon and published by World Scientific. This book was released on 1994 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups. It also contains details of Sunkov's and Belyaev'ss results on locally finite groups with min-p for all primes p. This is the first time many of these topics have appeared in book form. The body of work here is fairly complete.

Rings, Groups, and Algebras

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Publisher : CRC Press
ISBN 13 : 9780824797331
Total Pages : 352 pages
Book Rating : 4.7/5 (973 download)

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Book Synopsis Rings, Groups, and Algebras by : X. Cao

Download or read book Rings, Groups, and Algebras written by X. Cao and published by CRC Press. This book was released on 1996-07-23 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."

Groups '93 Galway/St Andrews: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 0521477492
Total Pages : 320 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Groups '93 Galway/St Andrews: Volume 1 by : C. M. Campbell

Download or read book Groups '93 Galway/St Andrews: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 1995-03-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representing the wealth and diversity of group theory for experienced researchers as well as new postgraduates, this two-volume book contains selected papers from the international conference which was held at University College Galway in August 1993.

Permutation Group Algorithms

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Publisher : Cambridge University Press
ISBN 13 : 9780521661034
Total Pages : 292 pages
Book Rating : 4.6/5 (61 download)

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Book Synopsis Permutation Group Algorithms by : Ákos Seress

Download or read book Permutation Group Algorithms written by Ákos Seress and published by Cambridge University Press. This book was released on 2003-03-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

The Santa Cruz Conference on Finite Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821814400
Total Pages : 654 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Santa Cruz Conference on Finite Groups by : Bruce Cooperstein

Download or read book The Santa Cruz Conference on Finite Groups written by Bruce Cooperstein and published by American Mathematical Soc.. This book was released on 1980 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinite Groups 1994

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110810387
Total Pages : 356 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Infinite Groups 1994 by : Francesco Giovanni

Download or read book Infinite Groups 1994 written by Francesco Giovanni and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-03-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.