R. Michael Howe
An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group
An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group
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- More about An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group
An Invitation to Representation Theory provides an accessible introduction to representation theory,using the symmetric group and its action on polynomials as a gateway. It develops concepts concurrently and includes over 250 exercises with complete solutions, making it suitable for guided study.
Format: Paperback / softback
Length: 229 pages
Publication date: 29 May 2022
Publisher: Springer Nature Switzerland AG
An Invitation to Representation Theory is a comprehensive guide for undergraduates seeking to delve into the world of groups and their representations. This book employs the ubiquitous symmetric group and its natural action on polynomials as a gateway to representation theory, a subject that spans various branches of mathematics, including group theory, geometry, number theory, combinatorics, physics, and chemistry. While the field of representation theory is renowned for its complexity and breadth, this book aims to make it accessible and engaging for beginners.
The symmetric group and its natural action on polynomial spaces serve as a rich and accessible model for studying groups and their representations. This book utilizes this key example to motivate the subject, concurrently developing the notions of groups and group representations. With a prerequisite of solid grounding in linear algebra, this book can serve as a first introduction to representation theory at the undergraduate level, particularly in topics classes or reading courses.
Packed with over 250 exercises with complete solutions, this book facilitates guided study and deepens understanding of the subject. Each chapter is accompanied by detailed explanations, examples, and exercises, allowing students to practice and apply the concepts learned. Whether you are a mathematics enthusiast or seeking to expand your knowledge in this interdisciplinary field, An Invitation to Representation Theory is an invaluable resource that will help you unlock the mysteries of groups and their representations.
Weight: 392g
Dimension: 155 x 233 x 18 (mm)
ISBN-13: 9783030980245
Edition number: 1st ed. 2022
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