Semiinfinite cohomology of quantum groups II
| dc.creator | Arkhipov, Sergey | |
| dc.date | 1996-10-15 | |
| dc.date.accessioned | 2026-07-07T09:17:17Z | |
| dc.date.available | 2026-07-07T09:17:17Z | |
| dc.description | It is known that the semi-infinite cohomology spaces of the infinitely twisted nilpotent subalgebra in an affine Lie algebra $g$ with coefficients in an integrable simple module over the affine Lie algebra have a base enumerated by elements of the corresponding affine Weyl group graded by the semiinfinite length function. Let $U$ be the affine quantum group corresponding to $g$. It is possible to define a subalgebra in $U$ being the quantum analogue of the universal enveloping algebra of the infinitely twisted nilpotent subalgebra in $g$. In this paper we prove that for general values of the parameter $v$ the semiinfinite cohomology of this associative algebra with coefficients in an integrable simple module over $U$ coincides with the one of the corresponding Lie subalgebra in $g$ with coefficients in the corresponding $g$-module. | |
| dc.description | AMSLaTeX, 42 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9610020 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9610020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153615 | |
| dc.subject | Quantum Algebra | |
| dc.title | Semiinfinite cohomology of quantum groups II | |
| dc.type | text |