Representations of the Infinite Symmetric Group

Nonfiction, Science & Nature, Mathematics, Algebra, Science
Cover of the book Representations of the Infinite Symmetric Group by Alexei Borodin, Grigori Olshanski, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexei Borodin, Grigori Olshanski ISBN: 9781316811894
Publisher: Cambridge University Press Publication: October 27, 2016
Imprint: Cambridge University Press Language: English
Author: Alexei Borodin, Grigori Olshanski
ISBN: 9781316811894
Publisher: Cambridge University Press
Publication: October 27, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book The Cambridge Companion to Postmodern Theology by Alexei Borodin, Grigori Olshanski
Cover of the book Public Services and International Trade Liberalization by Alexei Borodin, Grigori Olshanski
Cover of the book Substantive Protection under Investment Treaties by Alexei Borodin, Grigori Olshanski
Cover of the book Deadlocks in Multilateral Negotiations by Alexei Borodin, Grigori Olshanski
Cover of the book Turbulent Flows by Alexei Borodin, Grigori Olshanski
Cover of the book Soil Behaviour and Critical State Soil Mechanics by Alexei Borodin, Grigori Olshanski
Cover of the book Examination Techniques in Orthopaedics by Alexei Borodin, Grigori Olshanski
Cover of the book Kierkegaard's 'Concluding Unscientific Postscript' by Alexei Borodin, Grigori Olshanski
Cover of the book The New Cambridge History of American Foreign Relations: Volume 2, The American Search for Opportunity, 1865–1913 by Alexei Borodin, Grigori Olshanski
Cover of the book Darfur and the Crime of Genocide by Alexei Borodin, Grigori Olshanski
Cover of the book Theatre and the English Public from Reformation to Revolution by Alexei Borodin, Grigori Olshanski
Cover of the book Preferential Trade Agreements by Alexei Borodin, Grigori Olshanski
Cover of the book Plato and the Traditions of Ancient Literature by Alexei Borodin, Grigori Olshanski
Cover of the book An Introduction to the Solar System by Alexei Borodin, Grigori Olshanski
Cover of the book The Cultural Logic of Politics in Mainland China and Taiwan by Alexei Borodin, Grigori Olshanski
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy