Combinatorics of minuscule representations / R.M. Green, University of Colorado, Boulder

By:

Green, R. M

Material type: Text

TextSeries: Cambridge tracts in mathematicsPublisher: Cambridge : Cambridge University Press, c2013Description: vii, 320 p. : 24 cmISBN:

978-1-107-02624-7

Subject(s):

DDC classification:

512.482GRE

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:

Book

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Holdings
Current library	Call number	Status	Date due	Barcode
Main Library West Wing General Stacks	512.482GRE (Browse shelf(Opens below))	Available		GU-MLW20030598

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

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