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Author : Idun Reiten
Publisher :
ISBN 13 : 9781470408312
Total Pages : 72 pages
Book Rating : 4.4/5 (83 download)
Download or read book Two-dimensional Tame and Maximal Orders of Finite Representation Type written by Idun Reiten and published by . This book was released on 1989 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Idun Reiten
Publisher : American Mathematical Soc.
ISBN 13 : 0821824694
Total Pages : 72 pages
Book Rating : 4.8/5 (218 download)
Download or read book Two-Dimensional Tame and Maximal Orders of Finite Representation Type written by Idun Reiten and published by American Mathematical Soc.. This book was released on 1989 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F.M., van Oystaeyen
Publisher : Springer Science & Business Media
ISBN 13 : 1461239443
Total Pages : 211 pages
Book Rating : 4.4/5 (612 download)
Download or read book Graded Orders written by F.M., van Oystaeyen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a clear, well-developed presentation this book provides the first systematic treatment of structure results for algebras which are graded by a goup. The fruitful method of constructing graded orders of special kind over a given order, culminating in applications of the construction of generalized Rees rings associated to divisors, is combined with the theory of orders over graded Krull domains. This yields the construction of generalized Rees rings corresponding to the central ramification divisor of the orders and the algebraic properties of the constructed orders. The graded methods allow the study of regularity conditions on order. The book also touches upon representation theoretic methods, including orders of finite representation type and other aspects of this theory applicable to the classification of orders. The final chapter describes the ring theoretical approach to the classification of orders of global dimension two, originally carried out by M. Artin using more geometrical methods. Since its subject is important in many research areas, this book will be valuable reading for all researchers and graduate students with an interest in non-commutative algebra.
Author : Edward L. Green
Publisher : American Mathematical Soc.
ISBN 13 : 0821809288
Total Pages : 378 pages
Book Rating : 4.8/5 (218 download)
Download or read book Trends in the Representation Theory of Finite Dimensional Algebras written by Edward L. Green and published by American Mathematical Soc.. This book was released on 1998 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This refereed collection of research papers and survey articles reflects the interplay of finite-dimensional algebras with other areas (algebraic geometry, homological algebra, and the theory of quantum groups). Current trends are presented from the discussions at the AMS-IMS-SIAM Joint Summer Research Conference at the University of Washington (Seattle). The volume features several excellent expository articles which will introduce inspiration to researchers in related areas, as it includes original papers spanning a broad spectrum of representation theory.
Author : Andrzej Skowroński
Publisher : European Mathematical Society
ISBN 13 : 9783037190623
Total Pages : 732 pages
Book Rating : 4.1/5 (96 download)
Download or read book Trends in Representation Theory of Algebras and Related Topics written by Andrzej Skowroński and published by European Mathematical Society. This book was released on 2008 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, quantum groups, homological algebra, invariant theory, combinatorics, model theory and theoretical physics. The collection of articles, written by leading researchers in the field, is conceived as a sort of handbook providing easy access to the present state of knowledge and stimulating further development. The topics under discussion include diagram algebras, Brauer algebras, cellular algebras, quasi-hereditary algebras, Hall algebras, Hecke algebras, symplectic reflection algebras, Cherednik algebras, Kashiwara crystals, Fock spaces, preprojective algebras, cluster algebras, rank varieties, varieties of algebras and modules, moduli of representations of quivers, semi-invariants of quivers, Cohen-Macaulay modules, singularities, coherent sheaves, derived categories, spectral representation theory, Coxeter polynomials, Auslander-Reiten theory, Calabi-Yau triangulated categories, Poincare duality spaces, selfinjective algebras, periodic algebras, stable module categories, Hochschild cohomologies, deformations of algebras, Galois coverings of algebras, tilting theory, algebras of small homological dimensions, representation types of algebras, and model theory. This book consists of fifteen self-contained expository survey articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. They contain a large number of open problems and give new perspectives for research in the field.
Author : Peter Gabriel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540537328
Total Pages : 190 pages
Book Rating : 4.5/5 (373 download)
Download or read book Representations of Finite-Dimensional Algebras written by Peter Gabriel and published by Springer Science & Business Media. This book was released on 1992-10-08 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette
Author : Maurice Auslander
Publisher : Cambridge University Press
ISBN 13 : 9780521599238
Total Pages : 444 pages
Book Rating : 4.5/5 (992 download)
Download or read book Representation Theory of Artin Algebras written by Maurice Auslander and published by Cambridge University Press. This book was released on 1997-08-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is suitable for any mathematicians (especially graduate students) wanting an introduction to this active field.'...written in a clear comprehensive style with full proofs. It can very well serve as an excellent reference as well as a textbook for graduate students.' EMS Newletter
Author : Sirakov Boyan
Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5396 pages
Book Rating : 4.8/5 (132 download)
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author : Daniel Ken Nakano
Publisher : American Mathematical Soc.
ISBN 13 : 0821825305
Total Pages : 84 pages
Book Rating : 4.8/5 (218 download)
Download or read book Projective Modules over Lie Algebras of Cartan Type written by Daniel Ken Nakano and published by American Mathematical Soc.. This book was released on 1992 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on extending theorems for the classical Lie algebras in order to determine the structure and representation theory for Lie algebras of Cartan type. More specifically, Nakano investigates the block theory for the restricted universal enveloping algebras of the Lie algebras of Cartan type. The first section employs techniques developed by Holmes and Nakano to prove a Brauer-Humphreys reciprocity law for graded restricted Lie algebras and also to find the decompositions for the intermediate (Verma) modules used in the reciprocity law. The second section uses this information to investigate the structure of projective modules for the Lie algebras of types W and K. The restricted enveloping algebras for these Lie algebras are shown to have one block. Furthermore, Nakano provides a procedure for computing the Cartan invariants for Lie algebras of types W and K, given knowledge about the decomposition of the generalized Verma modules and about the Jantzen matrix of the classical/reductive zero component. Noteworthy for its readability and the continuity of its theme and purpose, this monograph appeals to graduate students and researchers interested in Lie algebras.
Author : Steven Zelditch
Publisher : American Mathematical Soc.
ISBN 13 : 0821825267
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)
Download or read book Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace written by Steven Zelditch and published by American Mathematical Soc.. This book was released on 1992 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is concerned with a pair of dual asymptotics problems on a finite-area hyperbolic surface. The first problem is to determine the distribution of closed geodesics in the unit tangent bundle. The second problem is to determine the distribution of eigenfunctions (in microlocal sense) in the unit tangent bundle.
Author : Bruce Arie Reznick
Publisher : American Mathematical Soc.
ISBN 13 : 0821825232
Total Pages : 155 pages
Book Rating : 4.8/5 (218 download)
Download or read book Sum of Even Powers of Real Linear Forms written by Bruce Arie Reznick and published by American Mathematical Soc.. This book was released on 1992 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work initiates a systematic analysis of the representation of real forms of even degree as sums of powers of linear forms and the resulting implications in real algebraic geometry, number theory, combinatorics, functional analysis, and numerical analysis. The proofs utilize elementary techniques from linear algebra, convexity, number theory, and real algebraic geometry and many explicit examples and relevant historical remarks are presented.
Author : Dennis A. Hejhal
Publisher : American Mathematical Soc.
ISBN 13 : 0821825291
Total Pages : 177 pages
Book Rating : 4.8/5 (218 download)
Download or read book Eigenvalues of the Laplacian for Hecke Triangle Groups written by Dennis A. Hejhal and published by American Mathematical Soc.. This book was released on 1992 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paper I is concerned with computational aspects of the Selberg trace formalism, considering the usual type of eigenfunction and including an analysis of pseudo cusp forms and their residual effects. Paper II examines the modular group PSL (2, [bold]Z), as such groups have both a discrete and continuous spectrum. This paper only examines the discrete side of the spectrum.
Author : Randolph J. Schilling
Publisher : American Mathematical Soc.
ISBN 13 : 0821825372
Total Pages : 59 pages
Book Rating : 4.8/5 (218 download)
Download or read book Neumann Systems for the Algebraic AKNS Problem written by Randolph J. Schilling and published by American Mathematical Soc.. This book was released on 1992 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neumann system, an algebraically completely integrable Hamiltonian system, consists of harmonic oscillators constrained to move on the unit spere in configuration space. Any finite gap potential of Hill's equation may be expressed in terms of a solution of the Neumann problem. The present work is concerned with an algebraically completely integrable Hamiltonian system whose solutions may be used to describe the finite gap solutions of the AKNS spectral problem, a first order two-by-two matrix linear system. Trace formulas, constraints, Lax paris, and constants of motion are obtained using Krichever's algebraic inverse spectral transform. Computations are carried out explicityly over the class of spectral problems with square matrix coefficients.
Author : Shari A. Prevost
Publisher : American Mathematical Soc.
ISBN 13 : 0821825275
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)
Download or read book Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras written by Shari A. Prevost and published by American Mathematical Soc.. This book was released on 1992 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. We then use the explicit [bold]Z-bases to extend Borcherds' description, via vertex operator representations, of a [bold]Z-form of the enveloping algebras for the simply-laced affine Lie algebras to the enveloping algebras associated to the unequal root length affine Lie algebras.
Author : John D. Fay
Publisher : American Mathematical Soc.
ISBN 13 : 082182550X
Total Pages : 123 pages
Book Rating : 4.8/5 (218 download)
Download or read book Kernel Functions, Analytic Torsion, and Moduli Spaces written by John D. Fay and published by American Mathematical Soc.. This book was released on 1992 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work investigates analytic torsion on the moduli space of degree zero stable bundles on a compact Reimann surface. Zeta-function regularization and perturbation-curvature formulas for torsion are developed using a modified resolvent-Szego kernel. The author discusses the bosonization formulas of mathematical physics. Riemann vanishing theorems for torsion, and analytic properties (insertion-residue formulas and heat equations) for the nonabelian theta function and Szego kernel. In addition, he provides background material on bundle-moduli spaces, Quillen metrics, and theta functions.
Author : Gwyn Bellamy
Publisher : Cambridge University Press
ISBN 13 : 1107129540
Total Pages : 367 pages
Book Rating : 4.1/5 (71 download)
Download or read book Noncommutative Algebraic Geometry written by Gwyn Bellamy and published by Cambridge University Press. This book was released on 2016-06-20 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.
Author : Klaus W. Roggenkamp
Publisher : Springer Science & Business Media
ISBN 13 : 9780792371137
Total Pages : 488 pages
Book Rating : 4.3/5 (711 download)
Download or read book Algebra - Representation Theory written by Klaus W. Roggenkamp and published by Springer Science & Business Media. This book was released on 2001-08-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development through the powerful tool of almost split sequences and the Auslander-Reiten quiver. Further insight into the homology of finite groups has illuminated their representation theory. The study of Hopf algebras and non-commutative geometry is another new branch of representation theory which pushes the classical theory further. All this can only be seen in connection with an understanding of the structure of special classes of rings. The aim of this book is to introduce the reader to some modern developments in: Lie algebras, quantum groups, Hopf algebras and algebraic groups; non-commutative algebraic geometry; representation theory of finite groups and cohomology; the structure of special classes of rings.
