dorsal/arxiv
View SchemaSemiinfinite cohomology of quantum groups
| Authors | Sergey Arkhipov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601026 |
| URL | https://arxiv.org/abs/q-alg/9601026 |
| DOI | 10.1007/s002200050170 |
Abstract
In this paper we develop a new homology theory of associative algebras called semiinfinite cohomology in a derived category setting. We show that in the case of small quantum groups the zeroth semiinfinite cohomology of the trivial module is closely related to the conformal blocks' spaces. We provide a description of the semiinfinite cohomology spaces of the trivial module over a small quantum group in terms of distributions on the nilpotent cone of the corresponding semisimple Lie algebra.
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"abstract": "In this paper we develop a new homology theory of associative algebras called\nsemiinfinite cohomology in a derived category setting. We show that in the case\nof small quantum groups the zeroth semiinfinite cohomology of the trivial\nmodule is closely related to the conformal blocks\u0027 spaces. We provide a\ndescription of the semiinfinite cohomology spaces of the trivial module over a\nsmall quantum group in terms of distributions on the nilpotent cone of the\ncorresponding semisimple Lie algebra.",
"arxiv_id": "q-alg/9601026",
"authors": [
"Sergey Arkhipov"
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"doi": "10.1007/s002200050170",
"title": "Semiinfinite cohomology of quantum groups",
"url": "https://arxiv.org/abs/q-alg/9601026"
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