Representations of the infinite symmetric group

Main
Mathematics
Mathematics - Algebra
Representations of the infinite...

Representations of the infinite symmetric group

Name: Representations of the infinite symmetric group
ISBN: 9781316798577

Borodin, Alexei, Olshanski, Grigori

0 / 0

0 comments

এই বইটি আপনার কতটা পছন্দ?

ফাইলের মান কিরকম?

মান নির্ণয়ের জন্য বইটি ডাউনলোড করুন

ডাউনলোড করা ফাইলগুলির মান কিরকম?

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.
Abstract: 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.

ক্যাটাগোরিগুলো:

Mathematics
Mathematics - Algebra

সাল:

2017

প্রকাশক:

Cambridge University Press

ভাষা:

english

পৃষ্ঠা:

170

ISBN 10:

1316798577