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Principal Structures and Methods of Representation Theory

About this Title

D. Zhelobenko, Moscow, Russia. Translated by Alex Martsinkovsky

Publication: Translations of Mathematical Monographs
Publication Year: 2006; Volume 228
ISBNs: 978-0-8218-3731-3 (print); 978-1-4704-4652-9 (online)
DOI: https://doi.org/10.1090/mmono/228
MathSciNet review: MR2183306
MSC: Primary 17-01; Secondary 00-01, 16G10, 17B10, 20G05, 22-01, 43A65

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Introduction

• Basic notions

General theory

• Associative algebras
• Lie algebras
• Topological groups
• Lie groups

Special topics

• Semisimple Lie algebras
• Semisimple Lie groups
• Banach algebras
• Quantum groups
• Root systems
• Banach spaces
• Convex sets
• The algebra $\mathrm {B}(H)$

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