Kazhdan Lusztig Cells With Unequal Parameters

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Kazhdan-Lusztig Cells with Unequal Parameters

Author : Cédric Bonnafé
Publisher : Springer
ISBN 13 : 3319707361
Total Pages : 350 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Kazhdan-Lusztig Cells with Unequal Parameters by : Cédric Bonnafé

Download or read book Kazhdan-Lusztig Cells with Unequal Parameters written by Cédric Bonnafé and published by Springer. This book was released on 2018-05-07 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case. Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig’s seminal work on the subject was published in 2002. The focus lies on the combinatorics of the partition into cells for general Coxeter groups, with special attention given to induction methods, cellular maps and the role of Lusztig's conjectures. Using only algebraic and combinatorial methods, the author carefully develops proofs, discusses open conjectures, and presents recent research, including a chapter on the action of the cactus group. Kazhdan-Lusztig Cells with Unequal Parameters will appeal to graduate students and researchers interested in related subject areas, such as Lie theory, representation theory, and combinatorics of Coxeter groups. Useful examples and various exercises make this book suitable for self-study and use alongside lecture courses. Information for readers: The character {\mathbb{Z}} has been corrupted in the print edition of this book and appears incorrectly with a diagonal line running through the symbol.

Representation Theory of Algebraic Groups and Quantum Groups

Author : Akihiko Gyoja
Publisher : Springer Science & Business Media
ISBN 13 : 0817646973
Total Pages : 356 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Representation Theory of Algebraic Groups and Quantum Groups by : Akihiko Gyoja

Download or read book Representation Theory of Algebraic Groups and Quantum Groups written by Akihiko Gyoja and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics

Representations of Hecke Algebras at Roots of Unity

Author : Meinolf Geck
Publisher : Springer Science & Business Media
ISBN 13 : 0857297163
Total Pages : 410 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Representations of Hecke Algebras at Roots of Unity by : Meinolf Geck

Download or read book Representations of Hecke Algebras at Roots of Unity written by Meinolf Geck and published by Springer Science & Business Media. This book was released on 2011-05-18 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras at roots of unity, this book is a particularly valuable addition to current research in this field. Using the framework provided by the Kazhdan-Lusztig theory of cells, the authors develop an analogue of James' (1970) "characteristic-free'' approach to the representation theory of Iwahori-Hecke algebras in general. Presenting a systematic and unified treatment of representations of Hecke algebras at roots of unity, this book is unique in its approach and includes new results that have not yet been published in book form. It also serves as background reading to further active areas of current research such as the theory of affine Hecke algebras and Cherednik algebras. The main results of this book are obtained by an interaction of several branches of mathematics, namely the theory of Fock spaces for quantum affine Lie algebras and Ariki's theorem, the combinatorics of crystal bases, the theory of Kazhdan-Lusztig bases and cells, and computational methods. This book will be of use to researchers and graduate students in representation theory as well as any researchers outside of the field with an interest in Hecke algebras.

Group Representation Theory

Author : Meinolf Geck
Publisher : EPFL Press
ISBN 13 : 9780849392436
Total Pages : 472 pages
Book Rating : 4.3/5 (924 download)

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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).

Proceedings of the International Conference on Complex Geometry and Related Fields

Author : Zhijie Chen
Publisher : American Mathematical Soc.
ISBN 13 : 0821839497
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Proceedings of the International Conference on Complex Geometry and Related Fields by : Zhijie Chen

Download or read book Proceedings of the International Conference on Complex Geometry and Related Fields written by Zhijie Chen and published by American Mathematical Soc.. This book was released on 2007 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In commemoration and celebration of the tenth anniversary of the Institute of Mathematics at East China Normal University, an International Conference on complex geometry and related fields recently convened. This collection presents some of the conference highlights, dealing with various and significant topics of differential and algebraic geometry, while exploring their connections to number theory and mathematical physics. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.

Representations of Reductive Groups

Author : Monica Nevins
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

Commutative Algebra and Noncommutative Algebraic Geometry

Author : David Eisenbud
Publisher : Cambridge University Press
ISBN 13 : 1107065623
Total Pages : 463 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Commutative Algebra and Noncommutative Algebraic Geometry by : David Eisenbud

Download or read book Commutative Algebra and Noncommutative Algebraic Geometry written by David Eisenbud and published by Cambridge University Press. This book was released on 2015-11-19 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

Author : Meinolf Geck
Publisher : Oxford University Press
ISBN 13 : 9780198502500
Total Pages : 478 pages
Book Rating : 4.5/5 (25 download)

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Book Synopsis Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras by : Meinolf Geck

Download or read book Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras written by Meinolf Geck and published by Oxford University Press. This book was released on 2000 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Coxeter groups and related structures arise naturally in several branches of mathematics such as the theory of Lie algebras and algebraic groups. The corresponding Iwahori-Hecke algebras are then obtained by a certain deformation process which have applications in the representation theory of groups of Lie type and the theory of knots and links. This book develops the theory of conjugacy classes and irreducible character, both for finite Coxeter groups and the associated Iwahori-Hecke algebras. Topics covered range from classical results to more recent developments and are clear and concise. This is the first book to develop these subjects both from a theoretical and an algorithmic point of view in a systematic way, covering all types of finite Coxeter groups.

New Trends in Noncommutative Algebra

Author : Ara, Pere
Publisher : American Mathematical Soc.
ISBN 13 : 0821852973
Total Pages : 326 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis New Trends in Noncommutative Algebra by : Ara, Pere

Download or read book New Trends in Noncommutative Algebra written by Ara, Pere and published by American Mathematical Soc.. This book was released on 2012 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference `New Trends in Noncommutative Algebra', held at the University of Washington, Seattle, in August 2010. The articles will provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Calabi-Yau algebras, quantum algebras and deformation quantization, Poisson algebras, group algebras, and noncommutative Iwasawa algebras.

Reflection Groups and Coxeter Groups

Author : James E. Humphreys
Publisher : Cambridge University Press
ISBN 13 : 9780521436137
Total Pages : 222 pages
Book Rating : 4.4/5 (361 download)

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Book Synopsis Reflection Groups and Coxeter Groups by : James E. Humphreys

Download or read book Reflection Groups and Coxeter Groups written by James E. Humphreys and published by Cambridge University Press. This book was released on 1992-10 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. Finite reflection groups acting on Euclidean spaces are discussed, and the first part ends with the construction of the affine Weyl groups, a class of Coxeter groups that plays a major role in Lie theory. The second part (which is logically independent of, but motivated by, the first) develops from scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications.

Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth

Download Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth PDF Online Free

Author : Jie Du
Publisher : World Scientific
ISBN 13 : 9811263507
Total Pages : 490 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth by : Jie Du

Download or read book Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth written by Jie Du and published by World Scientific. This book was released on 2022-10-21 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Xihua Cao (1920-2005) was a leading scholar at East China Normal University (ECNU) and a famous algebraist in China. His contribution to the Chinese academic circle is particularly the formation of a world-renowned 'ECNU School' in algebra, covering research areas include algebraic groups, quantum groups, algebraic geometry, Lie algebra, algebraic number theory, representation theory and other hot fields. In January 2020, in order to commemorate Professor Xihua Cao's centenary birthday, East China Normal University held a three-day academic conference. Scholars at home and abroad gave dedications or delivered lectures in the conference. This volume originates from the memorial conference, collecting the dedications of scholars, reminiscences of family members, and 16 academic articles written based on the lectures in the conference, covering a wide range of research hot topics in algebra. The book shows not only scholars' respect and memory for Professor Xihua Cao, but also the research achievements of Chinese scholars at home and abroad.

Categorical, Combinatorial and Geometric Representation Theory and Related Topics

Author : Pramod N. Achar
Publisher : American Mathematical Society
ISBN 13 : 1470471175
Total Pages : 536 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Categorical, Combinatorial and Geometric Representation Theory and Related Topics by : Pramod N. Achar

Download or read book Categorical, Combinatorial and Geometric Representation Theory and Related Topics written by Pramod N. Achar and published by American Mathematical Society. This book was released on 2024-07-11 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the third Proceedings of the Southeastern Lie Theory Workshop Series covering years 2015–21. During this time five workshops on different aspects of Lie theory were held at North Carolina State University in October 2015; University of Virginia in May 2016; University of Georgia in June 2018; Louisiana State University in May 2019; and College of Charleston in October 2021. Some of the articles by experts in the field describe recent developments while others include new results in categorical, combinatorial, and geometric representation theory of algebraic groups, Lie (super) algebras, and quantum groups, as well as on some related topics. The survey articles will be beneficial to junior researchers. This book will be useful to any researcher working in Lie theory and related areas.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 994 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 2008 with total page 994 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Soergel Bimodules

Author : Ben Elias
Publisher : Springer Nature
ISBN 13 : 3030488268
Total Pages : 588 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Introduction to Soergel Bimodules by : Ben Elias

Download or read book Introduction to Soergel Bimodules written by Ben Elias and published by Springer Nature. This book was released on 2020-09-26 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research. This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.

Combinatorics of Coxeter Groups

Author : Anders Bjorner
Publisher : Springer Science & Business Media
ISBN 13 : 3540275967
Total Pages : 371 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Combinatorics of Coxeter Groups by : Anders Bjorner

Download or read book Combinatorics of Coxeter Groups written by Anders Bjorner and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups

Noncommutative Geometry and Number Theory

Author : Caterina Consani
Publisher : Springer Science & Business Media
ISBN 13 : 3834803529
Total Pages : 374 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Noncommutative Geometry and Number Theory by : Caterina Consani

Download or read book Noncommutative Geometry and Number Theory written by Caterina Consani and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Author : Gebhard Böckle
Publisher : Springer
ISBN 13 : 3319705660
Total Pages : 753 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory by : Gebhard Böckle

Download or read book Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory written by Gebhard Böckle and published by Springer. This book was released on 2018-03-22 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.