科研之友
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摘要
Let. be a dominant integral weight of level k for the affine Lie algebra g and let a be a non-negative integral combination of simple roots. We address the question of whether the weight eta = Lambda - alpha lies in the set P(Lambda) of weights in the irreducible highest-weight module with highest weight Lambda. We give a non-recursive criterion in terms of the coefficients of alpha modulo an integral lattice kM, where M is the lattice parameterizing the abelian normal subgroup T of the Weyl group. The criterion requires the preliminary computation of a set no larger than the fundamental region for kM, and we show how this set can be efficiently calculated.
- 出版日期2013-10
