Representation theory

Demazure module

In mathematics, a Demazure module, introduced by Demazure , is a submodule of a finite-dimensional representation generated by an extremal weight space under the action of a Borel subalgebra. The Demazure character formula, introduced by Demazure , gives the characters of Demazure modules, and is a generalization of the Weyl character formula.The dimension of a Demazure module is a polynomial in the highest weight, called a Demazure polynomial. (Wikipedia).

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Related pages

Weyl character formula | Kac–Moody algebra | Weyl group | Weight (representation theory) | Cartan subalgebra | Borel subalgebra