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An Invitation to Representation Theory = Polynomial Representations of the Symmetric Group /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Invitation to Representation Theory/ by R. Michael Howe.
其他題名:	Polynomial Representations of the Symmetric Group /
作者:	Howe, R. Michael.
面頁冊數:	XV, 229 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Group Theory and Generalizations. -
電子資源:	https://doi.org/10.1007/978-3-030-98025-2
ISBN:	9783030980252

An Invitation to Representation Theory = Polynomial Representations of the Symmetric Group /
Howe, R. Michael.

An Invitation to Representation TheoryPolynomial Representations of the Symmetric Group /[electronic resource] :by R. Michael Howe. - 1st ed. 2022. - XV, 229 p.online resource. - SUMS Readings,2730-5821. - SUMS Readings,.

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.

ISBN: 9783030980252

Standard No.: 10.1007/978-3-030-98025-2doiSubjects--Topical Terms:

672112
Group Theory and Generalizations.

LC Class. No.: QA174-183

Dewey Class. No.: 512.2

An Invitation to Representation Theory = Polynomial Representations of the Symmetric Group /
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