Noncommutative Character Theory of the Symmetric Group

Name: Noncommutative Character Theory of the Symmetric Group
Brand: Imperial College Press
SKU: 9781860945113
Price: 9860.0 INR
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by Dieter Blessenohl , Manfred Schocker

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ISBN13: 9781860945113
Binding: Hardcover
Subject: N/A
Publisher: Imperial College Press
Publisher Imprint: Imperial College Press
Publication Date: January 28, 2005
Pages: 184
Original Price: GBP 69.0
Language: English
Edition: N/A
Item Weight: 413 grams
BISAC Subject(s): Algebra / Abstract

About The Book

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.

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