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Semi-Simple Lie Algebras and Their Representations
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Authors: Robert N. Cahn
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Type: BOOK - Published: 2014-06-10 - Publisher: Courier Corporation

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Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is espe
Representations of Semisimple Lie Algebras in the BGG Category O
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Authors: James E. Humphreys
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Type: BOOK - Published: 2021-07-14 - Publisher: American Mathematical Soc.

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This is the first textbook treatment of work leading to the landmark 1979 Kazhdan–Lusztig Conjecture on characters of simple highest weight modules for a semi
Lectures on Real Semisimple Lie Algebras and Their Representations
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Authors: A. L. Onishchik
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Type: BOOK - Published: 2004 - Publisher: European Mathematical Society

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The book begins with a simplified (and somewhat extended and corrected) exposition of the main results of F. Karpelevich's 1955 paper and relates them to the th
Introduction to Lie Algebras and Representation Theory
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This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on
Lie Groups, Lie Algebras, and Representations
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This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particul