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Representation Theory and Noncommutative Harmonic Analysis I: Fundamental Concepts. Representations of Virasoro and Affine Algebras

Representation Theory and Noncommutative Harmonic Analysis I

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"Representation Theory and Noncommutative Harmonic Analysis I" by Alexandre Kirillov is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.

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Best For: Students and researchers in mathematics and theoretical physics interested in algebraic structures and infinite-dimensional groups.
Focus: Fundamental concepts of representation theory, including representations of Virasoro and affine (Kac-Moody) algebras.
Covers: Classical representation theory and recent results on representations of infinite-dimensional groups.
Why It Matters: Provides a structured overview of core mathematical tools essential for understanding advanced algebraic frameworks in physics and mathematics.

"Representation Theory and Noncommutative Harmonic Analysis I" by Alexandre Kirillov is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Alexandre Kirillov

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.

AuthorAlexandre Kirillov
PublisherSpringer
Published2010-12-06
ISBN-139783642057403
BindingPaperback
Pages236
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesEncyclopaedia of Mathematical Sciences

Format: Paperback

Length: 236 pages

Language: English

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