representation theory of the symmetric group
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representation theory of the symmetric group by Gordon James

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Published by Addison-Wesley in Reading, Mass, London .
Written in English

Subjects:

  • Symmetry groups.,
  • Representations of groups.

Book details:

Edition Notes

StatementGordon James, Adalbert Kerber ; foreword by P.M. Cohn ; introduction by G. de B. Robinson.
SeriesEncyclopedia of mathematics and its applications -- v.16
ContributionsKerber, Adalbert.
Classifications
LC ClassificationsQA171
The Physical Object
Paginationxxviii,510p. :
Number of Pages510
ID Numbers
Open LibraryOL22618629M
ISBN 100201135159

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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 happylifekennel.com by: 4. 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 o. From the reviews of the second edition: "This work is an introduction to the representation theory of the symmetric group. Unlike other books on the subject this text deals with the symmetric group from three different points of view: general representation theory, combinatorial algorithms and symmetric functions. Brand: Springer-Verlag New York. that every representation is a direct sum of irreducible ones. In section 3, we talk about a very useful tool in representation theory: character theory. Using character theory, we can prove that every finite group has a finite number of irreducible representations. In fact, that num-ber is equal to the number of conjugacy classes in the group.

In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete and detailed theory can be happylifekennel.com has a large area of potential applications, from symmetric function theory to problems of quantum mechanics for a number of identical particles.. The symmetric group S n has order n!. May 12,  · 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 happylifekennel.com by: 4. Representation theory is also important in physics because, for example, it describes how the symmetry group of a physical system affects the solutions of equations describing that system. Representation theory is pervasive across fields of mathematics, for two reasons. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of .

The Representation Theory of the Symmetric Groups It seems that you're in USA. We have a dedicated site for USA The symmetric group. Pages James, G. D. Preview. Diagrams, tableaux and tabloids. Pages Book Title The Representation Theory of the Symmetric Groups Authors. G.D. James;Brand: Springer-Verlag Berlin Heidelberg. Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. The present paper is a revised Russian translation of the paper “A new approach to representation theory of symmetric groups,” Selecta Math., New Series, 2, No. 4, – (). Representation theory resources and references Representation theory of finite groups happylifekennel.comn, Representation theory happylifekennel.com, Representation Theory Book happylifekennel.comis, Group representations in probability and statistics happylifekennel.com, Symmetry, Groups and Their Applications happylifekennel.com, Representations of finite groups happylifekennel.comta, Notes on representations of algebras and finite groups.