最小仿射化的分次极限及超越：E6型无重数情形
Graded limits of minimal affinizations and Beyond: the multiplicty free case for type E6
摘要：
得到了E6型单李代数上当前代数的某些分次模的分次特征标公式。对于它们的最高权的某些值，这些模被证明同构于相关量子群的相应最小仿射的经典极限。我们证明了在进一步限制最高权的情况下，这是如此。在另一组最高权的条件下，Chari和Greenstein最近证明了它们是当前代数的分次模范畴的分次模的一个满子范畴的投射对象.我们的公式适用于所有这些投射模。
英文摘要：
We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E6. For certain values of their highest weight, these modules were conjectured to be isomorphic to the classical limit of the corresponding minimal affinizations of the associated quantum group. We prove that this is the case under further restrictions on the highest weight. Under another set of conditions on the highest weight, Chari and Greenstein have recently proved that they are projective objects of a full subcategory of the category of graded modules for the current algebra. Our formula applies to all of these projective modules.
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