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Více informací o knize Invitation to Representation Theory

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Anotace knihy

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 be 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 or self study.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Groups & group theory

• Plný název: Invitation to Representation Theory
• Podnázev: Polynomial Representations of the Symmetric Group
• Autor: R. Michael Howe
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 229
• EAN: 9783030980245
• ID: 38688746
• Nakladatelství: Springer Nature Switzerland AG
• Hmotnost: 392 g
• Rozměry: 155 × 233 × 18 mm
• Datum vydání: 29. May 2022

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