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Representations of Lie algebras : an introduction through gln

Author: Anthony Henderson
Publisher: Cambridge : Cambridge University Press, 2012.
Series: Australian Mathematical Society lecture series, 22
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Representations of Lie algebras.
Summary:
Motivation : representations of Lie groups -- Definition of a Lie algebra -- Basic structure of a Lie algebra -- Modules over a Lie algebra -- The theory of sl₂-modules -- General theory of modules -- Integral gln̳-modules -- Guide to further reading.
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Additional Physical Format: Print version:
Henderson, Anthony, 1976-
Representations of Lie algebras.
Cambridge : Cambridge University Press, 2012
(DLC) 2012021841
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Anthony Henderson
ISBN: 9781107653610 1107653614 9781139564984 1139564986 9781139555166 1139555162 9781139236126 1139236121
OCLC Number: 1047816538
In: Henderson, Anthony G
Description: Online-Ressource (1 v.p.).
Contents: 1. Motivation: representations of Lie groups; 2. Definition of a Lie algebra; 3. Basic structure of a Lie algebra; 4. Modules over a Lie algebra; 5. The theory of sl2-modules; 6. General theory of modules; 7. Integral gln-modules; 8. Guide to further reading; Appendix: solutions to the exercises; References; Index.
Series Title: Australian Mathematical Society lecture series, 22
Responsibility: Anthony Henderson.

Abstract:

Written specifically to introduce advanced undergraduate and beginning graduate students to an important area of mathematics, this book is far more accessible than previous books on Lie algebras. The  Read more...

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'This short book develops the standard tools (special bases, duality, tensor decompositions, Killing forms, Casimir operators ...) and aims for a single result: the classification of integral modules Read more...

 
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