Demazure module: Difference between revisions

Revision as of 19:48, 28 July 2011

Revision as of 19:52, 28 July 2011

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The Demazure character formula is

:<math>\text{Ch}(F(w\lambda)) = \Delta_1\Delta_2\cdots\Delta_ne^\lambda</math>

Here:

*''w'' is an element of the Weyl group, with reduced decomposition ''w''=''s''₁...''s''_''n'' as a product of reflections of simple roots.

*λ is a lowest weight, and ''e''^λ the corresponding element of the group ring of the weight lattice.

*Ch(''F''(''w''λ)) is the character of the Demazure module ''F''(''w''λ).

==References==