Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821815415
Total Pages : 429 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods by : William Joseph Haboush

Download or read book Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods written by William Joseph Haboush and published by American Mathematical Soc.. This book was released on 1994 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a research institute held at Pennsylvania State University, July 1991, focusing on quantum and infinite-dimensional methods of algebraic groups. Topics include perverse sheaves, finite Chevalley groups, the general theory of algebraic groups, representations, invariant theory, general

Representations of Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821860199
Total Pages : 508 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Representations of Algebras by : Vlastimil Dlab

Download or read book Representations of Algebras written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 1993 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of papers submitted after the conference. Describing developments at the forefront of the field, this book will be of interest to algebraists working in the field of representation theory.

Modular Representation Theory of Finite Groups

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Publisher : Walter de Gruyter
ISBN 13 : 9783110163674
Total Pages : 284 pages
Book Rating : 4.1/5 (636 download)

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Book Synopsis Modular Representation Theory of Finite Groups by : Michael John Collins

Download or read book Modular Representation Theory of Finite Groups written by Michael John Collins and published by Walter de Gruyter. This book was released on 2001 with total page 284 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.

Representations of Reductive Groups

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Publisher : Birkhäuser
ISBN 13 : 3319234439
Total Pages : 545 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Representations of Reductive Groups by : Monica Nevins

Download or read book Representations of Reductive Groups written by Monica Nevins and published by Birkhäuser. This book was released on 2015-12-18 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 19-23, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, Jing-Song Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson

Algebraic Groups and Their Generalizations: Classical Methods

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Publisher : American Mathematical Soc.
ISBN 13 : 0821815407
Total Pages : 397 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Groups and Their Generalizations: Classical Methods by : William Joseph Haboush

Download or read book Algebraic Groups and Their Generalizations: Classical Methods written by William Joseph Haboush and published by American Mathematical Soc.. This book was released on 1994 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834169
Total Pages : 502 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry by : Vlastimil Dlab

Download or read book Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 2004 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ``Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.

Iwahori-Hecke Algebras and Schur Algebras of the Symmetric Group

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Publisher : American Mathematical Soc.
ISBN 13 : 0821819267
Total Pages : 204 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Iwahori-Hecke Algebras and Schur Algebras of the Symmetric Group by : Andrew Mathas

Download or read book Iwahori-Hecke Algebras and Schur Algebras of the Symmetric Group written by Andrew Mathas and published by American Mathematical Soc.. This book was released on 1999 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the $q$-Schur algebras. The study of these algebras was pioneered by Dipper and James in a series of landmark papers. The primary goal of the book is to classify the blocks and the simple modules of both algebras. The final chapter contains a survey of recent advances and open problems. The main results are proved by showing that the Iwahori-Hecke algebras and $q$-Schur algebras are cellular algebras (in the sense of Graham and Lehrer). This is proved by exhibiting natural bases of both algebras which are indexed by pairs of standard and semistandard tableaux respectively. Using the machinery of cellular algebras, which is developed in chapter 2, this results in a clean and elegant classification of the irreducible representations of both algebras. The block theory is approached by first proving an analogue of the Jantzen sum formula for the $q$-Schur algebras. This book is the first of its kind covering the topic. It offers a substantially simplified treatment of the original proofs. The book is a solid reference source for experts. It will also serve as a good introduction to students and beginning researchers since each chapter contains exercises and there is an appendix containing a quick development of the representation theory of algebras. A second appendix gives tables of decomposition numbers.

Proceedings of the Sixth International Conference on Representations of Algebras, Carleton University, Ottawa, 1992

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Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Proceedings of the Sixth International Conference on Representations of Algebras, Carleton University, Ottawa, 1992 by : Vlastimil Dlab

Download or read book Proceedings of the Sixth International Conference on Representations of Algebras, Carleton University, Ottawa, 1992 written by Vlastimil Dlab and published by . This book was released on 1992 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Methods in Representation Theory

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Combinatorial Methods in Representation Theory by : Kazuhiko Koike

Download or read book Combinatorial Methods in Representation Theory written by Kazuhiko Koike and published by . This book was released on 2000 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers written by the speakers of two international conferences held at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University (Japan). Included are articles and surveys treating representations of (affine) Hecke algebras and affine Lie algebras, combinatorial properties of Kazhdan-Lusztig polynomials, crystals and Gelfand-Zetland bases for Lie (super) algebras, etc.

Group Representation for Quantum Theory

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Publisher : Springer
ISBN 13 : 3319449060
Total Pages : 357 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Group Representation for Quantum Theory by : Masahito Hayashi

Download or read book Group Representation for Quantum Theory written by Masahito Hayashi and published by Springer. This book was released on 2016-11-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Combinatorics on Words

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Publisher : Cambridge University Press
ISBN 13 : 9780521812207
Total Pages : 536 pages
Book Rating : 4.8/5 (122 download)

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Book Synopsis Algebraic Combinatorics on Words by : M. Lothaire

Download or read book Algebraic Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 2002-04-18 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.

Notices of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1994 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abstracts of Papers Presented to the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2001 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Gazette - Australian Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Gazette - Australian Mathematical Society by : Australian Mathematical Society

Download or read book Gazette - Australian Mathematical Society written by Australian Mathematical Society and published by . This book was released on 1995 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 772 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Lie Groups and Lie Algebras

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Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to Lie Groups and Lie Algebras by : Alexander A. Kirillov

Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.