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→Statement: Z[P] |
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*λ is a lowest weight, and ''e''<sup>λ</sup> 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).
*''P'' is the weight lattice, and '''Z'''[''P''] is its group ring.
*Δ<sub>α</sub> for α a root is the endomorphism of the '''Z'''-module '''Z'''[''P''] defined by
:<math>\Delta_\alpha(u) = \frac{u-s_\alpha u}{1-e^{-\alpha}}</math>
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