Representations of the Infinite Symmetric Group (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2016

1107175550 / 9781107175556

Series: Book 90 of 151 - Cambridge Studies in Advanced Mathematics

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Hardcover. Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group, focusing on its deep connections to probability, mathematical physics, and algebraic combinatorics. Following a discussion of the classical Thoma's theorem which describes the characters of the infinite symmetric group, the authors describe explicit constructions of an important class of representations, including both the irreducible and generalized ones. Complete with detailed proofs, as well as numerous examples and exercises which help to summarize recent developments in the field, this book will enable graduates to enhance their understanding of the topic, while also aiding lecturers and researchers in related areas. Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. Offering a concise and self-contained exposition accessible to a wide audience, this book is a much-needed introduction to the basic concepts. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …

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Title
Representations of the Infinite Symmetric Group (Hardcover)
Author
Alexei Borodin
Publisher
Cambridge University Press, Cambridge
Publication year
2016
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1107175550
ISBN 13
9781107175556
Series
Book 90 of 151: Cambridge Studies in Advanced Mathematics

CitiRetail

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