Combinatorics of minuscule representations / R.M. Green, University of Colorado, Denver.
Material type:
TextSeries: Cambridge tracts in mathematics ; 199Publication details: Cambridge Cambridge Univ. c2013 Description: vii, 320 pages ; 24 cmISBN: 9781107026247 (hardback)Subject(s): Mathematics | Representations of Lie algebras | Combinatorial analysis | MATHEMATICS / Algebra / GeneralDDC classification: 512.482 Summary: "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"--
| Item type | Current library | Call number | Status | Date due | Barcode |
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General Books
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Malaviya National Institute of Technology General Stacks | 512.482 GER (Browse shelf(Opens below)) | Available | 88331 |
Includes bibliographical references and index.
"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"--
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