Combinatorics of minuscule representations /
Green, R. M.,
Combinatorics of minuscule representations / R.M. Green, University of Colorado, Boulder - vii, 320 p. : 24 cm - Cambridge tracts in mathematics ; .
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"--
978-1-107-02624-7
Representations of Lie algebras
Combinatorial analysis
512.482GRE
Combinatorics of minuscule representations / R.M. Green, University of Colorado, Boulder - vii, 320 p. : 24 cm - Cambridge tracts in mathematics ; .
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"--
978-1-107-02624-7
Representations of Lie algebras
Combinatorial analysis
512.482GRE