Semiinfinite Cohomology of Quantum Groups |
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Authors: | S. M. Arkhipov |
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Affiliation: | Independent University of Moscow, Pervomajskaya st. 16–18, Moscow 105037, Russia.?E-mail: hippie@ium.ips.ras.ru, RU
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Abstract: | We define a new cohomology theory of associative algebras called semiinfinite cohomology in the derived categories' setting. We investigate the case of a small quantum group u, calculate semiinfinite cohomology spaces of the trivial u-module and express them in terms of local cohomology of the nilpotent cone for the corresponding semisimple Lie algebra. We discuss the connection between the semiinfinite homology of u and the conformal blocks' spaces. Received: 14 October 1996 / Accepted: 25 February 1997 |
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