Group Characters Symmetric Functions And The Hecke Algebra
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Group Characters Symmetric Functions And The Hecke Algebra
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Author : David M. Goldschmidt
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Group Characters Symmetric Functions And The Hecke Algebra written by David M. Goldschmidt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
An inexpensive softcover volume aimed at graduate students and interested mathematicians. Made up of notes from a popular lecture course taught at University of California at Berkeley.
Group Characters Symmetric Functions And The Hecke Algebras
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Author : David M. Goldschmidt
language : en
Publisher:
Release Date : 2004
Group Characters Symmetric Functions And The Hecke Algebras written by David M. Goldschmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Finite groups categories.
Group Characters Symmetry Functions And The Hecke Algebras
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Author : David M. Goldschmidt
language : en
Publisher:
Release Date : 1993
Group Characters Symmetry Functions And The Hecke Algebras written by David M. Goldschmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Representation Theory Of Symmetric Groups
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Author : Pierre-Loic Meliot
language : en
Publisher: CRC Press
Release Date : 2017-05-12
Representation Theory Of Symmetric Groups written by Pierre-Loic Meliot and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Mathematics categories.
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.
Characters Of Finite Coxeter Groups And Iwahori Hecke Algebras
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Author : Meinolf Geck
language : en
Publisher: Oxford University Press
Release Date : 2000
Characters Of Finite Coxeter Groups And Iwahori Hecke Algebras written by Meinolf Geck and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
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.
Symmetric Functions And Orthogonal Polynomials
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Author : Ian Grant Macdonald
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Symmetric Functions And Orthogonal Polynomials written by Ian Grant Macdonald and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials, has long been known to be connected to combinatorics, representation theory and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some of the current developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Specifically, he gives recent results on orthogonal polynomials associated with affine Hecke algebras, surveying the proofs of certain famous combinatorial conjectures.
The Theory Of Group Characters And Matrix Representations Of Groups
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Author : Dudley Ernest Littlewood
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
The Theory Of Group Characters And Matrix Representations Of Groups written by Dudley Ernest Littlewood and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Originally written in 1940, this book remains a classical source on representations and characters of finite and compact groups. The book starts with necessary information about matrices, algebras, and groups. Then the author proceeds to representations of finite groups. Of particular interest in this part of the book are several chapters devoted to representations and characters of symmetric groups and the closely related theory of symmetric polynomials. The concluding chapters present the representation theory of classical compact Lie groups, including a detailed description of representations of the unitary and orthogonal groups. The book, which can be read with minimal prerequisites (an undergraduate algebra course), allows the reader to get a good understanding of beautiful classical results about group representations.
Noncommutative Character Theory Of The Symmetric Group
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Author : Dieter Blessenohl
language : en
Publisher: World Scientific
Release Date : 2005
Noncommutative Character Theory Of The Symmetric Group written by Dieter Blessenohl and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
A new approach to the character theory of the symmetric group has been developed during the past fifteen years which is in many ways more efficient, more transparent, and more elementary. In this approach, to each permutation is assigned a class function of the corresponding symmetric group. Problems in character theory can thereby be transferred into a completely different setting and reduced to combinatorial problems on permutations in a natural and uniform way.This is the first account in book form entirely devoted to the new ?noncommutative method?. As a modern and comprehensive survey of the classical theory the book contains such fundamental results as the Murnaghan-Nakayama and Littlewood-Richardson rules as well as more recent applications in enumerative combinatorics and in the theory of the free Lie algebra. But it is also an introduction to the vibrant theory of certain combinatorial Hopf algebras such as the Malvenuto-Reutenauer algebra of permutations.The three detailed appendices on group characters, the Solomon descent algebra and the Robinson-Schensted correspondence makes the material self-contained and suitable for undergraduate level. Students and researchers alike will find that noncommutative character theory is a source of inspiration and an illuminating approach to this versatile field of algebraic combinatorics.
Unipotent Hecke Algebras
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Author : F. Nathaniel Edgar Thiem
language : en
Publisher:
Release Date : 2004
Unipotent Hecke Algebras written by F. Nathaniel Edgar Thiem and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Introduction To Group Characters
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Author : Walter Ledermann
language : en
Publisher: CUP Archive
Release Date : 1987-07-30
Introduction To Group Characters written by Walter Ledermann and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-07-30 with Mathematics categories.
This is an introductory text, suitable for final-year undergraduates or postgraduate students.