Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Green, R. M., 1971-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2013.
Colección:Cambridge tracts in mathematics ; 199.
Temas:
Acceso en línea:Texto completo
Descripción
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.
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