Combinatorics of minuscule representations / R.M. Green, University of Colorado, Denver.
By: Green, R. M.
Material type:
TextSeries: Cambridge tracts in mathematics ; 199.Publisher: Cambridge : Cambridge University Press, 2013Description: vii, 320 pages ; UKP 50.00 24 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781107026247 (hardback).Subject(s): Representations of Lie algebras | Combinatorial analysis | MATHEMATICS / Algebra / GeneralDDC classification: 512/.482 Other classification: MAT002000 Online resources: Cover image 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"-- Provided by publisher.
| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| Book | Chennai Mathematical Institute General Stacks | 512.482 GRE (Browse shelf) | Available | 9546 | ||
| Book | Chennai Mathematical Institute General Stacks | 512.482 GRE (Browse shelf) | Available | 9428 |
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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"-- Provided by publisher.