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Multiplicity Free Representations Of Algebraic Groups
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Book Synopsis Multiplicity-free Representations of Algebraic Groups by : Martin W. Liebeck
Download or read book Multiplicity-free Representations of Algebraic Groups written by Martin W. Liebeck and published by American Mathematical Society. This book was released on 2024-03-18 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Representations of Algebraic Groups by : Jens Carsten Jantzen
Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Book Synopsis Representations of Algebraic Groups by : Jens Carsten Jantzen
Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003-01-01 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now back in print by the AMS, this is a significantly revised edition of a book originally published in 1987 by Academic Press. This book gives the reader an introduction to the theory of algebraic representations of reductive algebraic groups. To develop appropriate techniques, the first part of the book is an introduction to the general theory of representations of algebraic group schemes. Here, the author describes important basic notions: induction functors, cohomology,quotients, Frobenius kernels, and reduction mod $p$, among others. The second part of the book is devoted to the representation theory of reductive algebraic groups. It includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl's character formula, andSchubert schemes and line bundles on them. For this revised edition the author added nearly 150 pages of new material describing some later developments, among them Schur algebras, Lusztig's conjecture and Kazhdan-Lusztig polynomials, tilting modules, and representations of quantum groups. He also made major revisions to parts of the old text. Jantzen's book continues to be the ultimate source of information on representations of algebraic groups in finite characteristics. It is suitable forgraduate students and research mathematicians interested in algebraic groups and their representations.
Book Synopsis Varieties of Representations of Finitely Generated Groups by : Alexander Lubotzky
Download or read book Varieties of Representations of Finitely Generated Groups written by Alexander Lubotzky and published by American Mathematical Soc.. This book was released on 1985 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of Reductive Groups by : Roger W. Carter
Download or read book Representations of Reductive Groups written by Roger W. Carter and published by Cambridge University Press. This book was released on 1998-09-03 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Book Synopsis Algebraic Groups and Their Representations by : R.W. Carter
Download or read book Algebraic Groups and Their Representations written by R.W. Carter and published by Springer Science & Business Media. This book was released on 1998-08-31 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Articles on representation theory are written by Andersen on tilting modules, Carter on canonical bases, Cline, Parshall and Scott on endomorphism algebras, James and Kleshchev on the symmetric group, Littelmann on the path model, Lusztig on homology bases, McNinch on semisimplicity in prime characteristic, Robinson on block theory, Scott on Lusztig's character formula, and Tanisaki on highest weight modules. Articles on subgroup structure are written by Seitz and Brundan on double cosets, Liebeck on exceptional groups, Saxl on subgroups containing special elements, and Guralnick on applications of subgroup structure. Steinberg gives a new, short proof of the isomorphism and isogeny theorems for reductive groups. Aschbacher discusses the classification of quasithin groups and Borovik the classification of groups of finite Morley rank. Audience: The book contains accounts of many recent advances and will interest research workers and students in the theory of algebraic groups and related areas of mathematics.
Book Synopsis Representations of Real and P-adic Groups by : Eng-chye Tan
Download or read book Representations of Real and P-adic Groups written by Eng-chye Tan and published by World Scientific. This book was released on 2004 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on ?Representation Theory of Lie Groups? from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.The lecturers include Tomasz Przebinda from the University of Oklahoma, USA; Gordan Savin from the University of Utah, USA; Stephen DeBacker from Harvard University, USA; Marko Tadi? from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pand?i? from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.
Book Synopsis Representation Theories and Algebraic Geometry by : A. Broer
Download or read book Representation Theories and Algebraic Geometry written by A. Broer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules.
Book Synopsis Group Representation Theory by : Meinolf Geck
Download or read book Group Representation Theory written by Meinolf Geck and published by EPFL Press. This book was released on 2007-05-07 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: After the pioneering work of Brauer in the middle of the 20th century in the area of the representation theory of groups, many entirely new developments have taken place and the field has grown into a very large field of study. This progress, and the remaining open problems (e.g., the conjectures of Alterin, Dade, Broué, James, etc.) have ensured that group representation theory remains a lively area of research. In this book, the leading researchers in the field contribute a chapter in their field of specialty, namely: Broué (Finite reductive groups and spetses); Carlson (Cohomology and representations of finite groups); Geck (Representations of Hecke algebras); Seitz (Topics in algebraic groups); Kessar and Linckelmann (Fusion systems and blocks); Serre (On finite subgroups of Lie groups); Thévenaz (The classification of endo-permutaion modules); and Webb (Representations and cohomology of categories).
Book Synopsis Representations and Invariants of the Classical Groups by : Roe Goodman
Download or read book Representations and Invariants of the Classical Groups written by Roe Goodman and published by Cambridge University Press. This book was released on 2000-01-13 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.
Book Synopsis Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation by : Nicolas Burq
Download or read book Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation written by Nicolas Burq and published by American Mathematical Society. This book was released on 2024-05-15 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Handbook of Algebra by : M. Hazewinkel
Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2009-07-08 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes
Book Synopsis Mixed Hodge Structures on Alexander Modules by : Eva Elduque
Download or read book Mixed Hodge Structures on Alexander Modules written by Eva Elduque and published by American Mathematical Society. This book was released on 2024-05-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations by : Sonja Cox
Download or read book Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations written by Sonja Cox and published by American Mathematical Society. This book was released on 2024-05-15 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion by : Gaëtan Borot
Download or read book Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion written by Gaëtan Borot and published by American Mathematical Society. This book was released on 2024-05-15 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori by : Steven Boyer
Download or read book Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori written by Steven Boyer and published by American Mathematical Society. This book was released on 2024-04-17 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Transition Threshold for the 3D Couette Flow in a Finite Channel by : Qi Chen
Download or read book Transition Threshold for the 3D Couette Flow in a Finite Channel written by Qi Chen and published by American Mathematical Society. This book was released on 2024-05-15 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
