Semi-Infinite Induction and Wakimoto Modules
q-alg
2008-02-03 v2 量子代数
摘要
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.
关键词
引用
@article{arxiv.q-alg/9704020,
title = {Semi-Infinite Induction and Wakimoto Modules},
author = {Alexander A. Voronov},
journal= {arXiv preprint arXiv:q-alg/9704020},
year = {2008}
}
备注
13 pages; an error in the proof of the Semi-infinite Shapiro Lemma corrected