Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Representations of the Infinite Symmetric Group

Representations of the Infinite Symmetric Group

Borodin, Alexei
Olshanski, Grigori

Hardcover

Series: Cambridge Studies in Advanced Mathematics, Book 160

AlgebraCalculus

ISBN10: 1107175550
ISBN13: 9781107175556
Publisher: Cambridge University Press
Published: Oct 27 2016
Pages: 168
Weight: 0.81
Height: 0.60 Width: 6.33 Depth: 9.40
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.

Also in

Algebra

View All