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Combinatorics of minuscule representations /
"Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights m...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2013.
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| Colección: | Cambridge tracts in mathematics ;
199. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights may be regarded as points in Euclidean space, and there is a finite group (called a Weyl group) that acts on the set of weights by linear transformations. The minuscule representations are those for which the Weyl group acts transitively on the weights, and the highest weight of such a representation is called a minuscule weight"-- Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups. |
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| Descripción Física: | 1 online resource (vii, 320 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781107308893 1107308895 9781107314443 1107314445 9781139207003 1139207008 9781299009066 1299009069 9781107306691 1107306698 9781107301603 1107301602 1107236525 9781107236523 1107305764 9781107305762 1107312248 9781107312241 |