Representation Theory of Symmetric Groups

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A01=Pierre-Loic Meliot
Abstract Algebra
Adjoint Representation
advanced algebraic structures in group theory
Affine Hecke Algebra
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Author_Pierre-Loic Meliot
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Branching Rules
Category1=Non-Fiction
Category=PBD
Category=PBG
Category=PBV
Category=UMB
Combinatorics
Conjugacy Classes
Content Vector
COP=United States
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Elementary Transpositions
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Formal Alphabet
free probability models
Galois Theory
Group Algebra
Hecke Algebras
Hopf algebra theory
Integer Partitions
Irreducible Representations
Language_English
Monomial Function
noncommutative Fourier analysis
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Partial Permutations
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quantum group representations
Representation Theory
Schur-Weyl duality
softlaunch
Specht Module
Spectral Vector
Standard Tableau
Symmetric Functions
Symmetric Groups
Symmetric Polynomials
Symmetry
Trivial Representation
Young Diagram
Young tableau combinatorics

Product details

  • ISBN 9781498719124
  • Weight: 1020g
  • Dimensions: 156 x 234mm
  • Publication Date: 21 Mar 2017
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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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.

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