An Invitation to Representation Theory : Polynomial Representations of the Symmetric Group
1st ed. 2022
Book Details
Format
Paperback / Softback
Book Series
SUMS Readings
ISBN-10
3030980243
ISBN-13
9783030980245
Edition
1st ed. 2022
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 29th, 2022
Print length
229 Pages
Weight
388 grams
Dimensions
15.50 x 23.30 x 1.80 cms
Product Classification:
Groups & group theory
Ksh 5,400.00
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In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation theory. The subject of representation theory is one of the most connected in mathematics, with applications to group theory, geometry, number theory and combinatorics, as well as physics and chemistry.
An Invitation to Representation Theory offers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation theory.
The subject of representation theory is one of the most connected in mathematics, with applications to group theory, geometry, number theory and combinatorics, as well as physics and chemistry. It can however be daunting for beginners and inaccessible to undergraduates. The symmetric group and its natural action on polynomial spaces provide a rich yet accessible model to study, serving as a prototype for other groups and their representations. This book uses this key example to motivate the subject, developing the notions of groups and group representations concurrently.
With prerequisites limited to a solid grounding in linear algebra, this book can serve as a first introduction to representation theory at the undergraduate level, for instance in a topics class or a reading course. A substantial amount of content is presented in over 250 exercises with complete solutions, making it well-suited for guided study.
Get An Invitation to Representation Theory by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer Nature Switzerland AG and it has pages.