Semiinfinite Cohomology of Contragradient Weyl Modules over Small Quantum Groups
نویسنده
چکیده
The present paper can be considered as a natural extension the article [Ar7]. Fix root data (Y,X, . . . ) of the finite type (I, ·) and a positive integer number l. In [Ar7] we obtained a nice description for semiinfinite cohomology of the trivial module C over the small quantum group ul corresponding to the root data (Y,X, . . . ) in terms of local cohomology of the structure sheaf on the nilpotent cone N in the corresponding semisimple Lie algebra g. The geometric approach to various homological questions concerning the algebra ul appeared first in the pioneering paper of Ginzburg and Kumar [GK]. Let us state the main result from that paper.
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