Representations of the Infinite Symmetric Group
Language: English
Published by Cambridge University Press, GB, 2016
Series: Book 90 of 151 - Cambridge Studies in Advanced Mathematics
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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Add to basketItem description from seller
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.
Seller Inventory # LU-9781107175556
- Title
- Representations of the Infinite Symmetric Group
- Author
- Alexei Borodin, Grigori Olshanski
- Publisher
- Cambridge University Press, GB
- Publication year
- 2016
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1107175550
- ISBN 13
- 9781107175556
- Item weight
- 380 grams
- Series
- Book 90 of 151: Cambridge Studies in Advanced Mathematics
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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