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Cambridge Studies in Advanced Mathematics: Series Number 160: Representations of the Infinite Symmetric Group
Alexei Borodin
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Description for Cambridge Studies in Advanced Mathematics: Series Number 160: Representations of the Infinite Symmetric Group
hardcover. An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 168 pages, 2 b/w illus. 80 exercises. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 160 x 236 x 16. Weight in Grams: 380.
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 ... Read more
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 ... Read more
Product Details
Publisher
Cambridge University Press
Format
Hardback
Publication date
2016
Series
Cambridge Studies in Advanced Mathematics
Condition
New
Weight
379g
Number of Pages
168
Place of Publication
Cambridge, United Kingdom
ISBN
9781107175556
SKU
V9781107175556
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-26
About Alexei Borodin
Alexei Borodin is a Professor of Mathematics at the Massachusetts Institute of Technology. Grigori Olshanski is a Principal Researcher in the Section of Algebra and Number Theory at the Institute for Information Transmission Problems of the Russian Academy of Sciences, Moscow. He also holds the position of Dobrushin Professor at the National Research University Higher School of Economics, Moscow.
Reviews for Cambridge Studies in Advanced Mathematics: Series Number 160: Representations of the Infinite Symmetric Group
'... the aim of this book is to provide a detailed introduction to the representation theory of S( ) in such a way that would be accessible to graduate and advanced undergraduate students. At the end of each section of the book, there are exercises and notes which are helpful for students who choose the book for the course.' Mohammad-Reza ... Read more