Semi-Infinite Induction and Wakimoto Modules
| dc.creator | Voronov, Alexander A. | |
| dc.date | 1997-04-29 | |
| dc.date | 2002-03-20 | |
| dc.date.accessioned | 2026-07-07T09:08:47Z | |
| dc.date.available | 2026-07-07T09:08:47Z | |
| dc.description | The purpose of this paper is to suggest the construction and study properties of semi-infinite induction, which relates to semi-infinite cohomology the same way induction relates to homology and coinduction to cohomology. We prove a version of the Shapiro Lemma, relating the semi-infinite cohomology of a module with that of the semi-infinitely induced module. A practical outcome of our construction is a simple construction of Wakimoto modules, highest-weight modules used in double-sided BGG resolutions of irreducible modules. | |
| dc.description | 13 pages; an error in the proof of the Semi-infinite Shapiro Lemma corrected | |
| dc.identifier | https://arxiv.org/abs/q-alg/9704020 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9704020 | |
| dc.identifier | Amer. J. Math. 121 (1999), no. 5, 1079-1094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150843 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B65 (Primary) 81R10 (Secondary) | |
| dc.title | Semi-Infinite Induction and Wakimoto Modules | |
| dc.type | text |