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Record Nr. |
UNINA9910819710803321 |
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Autore |
Henderson Anthony <1976-> |
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Titolo |
Representations of Lie algebras : an introduction through gln / / Anthony Henderson, School of Mathematics and Statistics, University of Sydney [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2012 |
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ISBN |
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1-139-56498-6 |
1-316-09056-6 |
1-139-23612-1 |
1-283-57524-8 |
1-139-55145-0 |
9786613887696 |
1-139-55641-X |
1-139-55271-6 |
1-139-55020-9 |
1-139-55516-2 |
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Descrizione fisica |
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1 online resource (ix, 156 pages) : digital, PDF file(s) |
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Collana |
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Australian Mathematical Society lecture series ; ; 22 |
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Classificazione |
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Disciplina |
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Soggetti |
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Representations of Lie algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Machine generated contents note: 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; Bibliography; Index. |
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Sommario/riassunto |
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This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest |
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