dorsal/arxiv
View SchemaSemi-Infinite Induction and Wakimoto Modules
| Authors | Alexander A. Voronov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9704020 |
| URL | https://arxiv.org/abs/q-alg/9704020 |
| Journal | Amer. J. Math. 121 (1999), no. 5, 1079-1094 |
Abstract
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.
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"abstract": "The purpose of this paper is to suggest the construction and study properties\nof semi-infinite induction, which relates to semi-infinite cohomology the same\nway induction relates to homology and coinduction to cohomology. We prove a\nversion of the Shapiro Lemma, relating the semi-infinite cohomology of a module\nwith that of the semi-infinitely induced module. A practical outcome of our\nconstruction is a simple construction of Wakimoto modules, highest-weight\nmodules used in double-sided BGG resolutions of irreducible modules.",
"arxiv_id": "q-alg/9704020",
"authors": [
"Alexander A. Voronov"
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"journal_ref": "Amer. J. Math. 121 (1999), no. 5, 1079-1094",
"title": "Semi-Infinite Induction and Wakimoto Modules",
"url": "https://arxiv.org/abs/q-alg/9704020"
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