Title

Category O{script} for the Virasoro algebra: Cohomology and Koszulity

Document Type

Article

Publication Date

1-1-2008

Abstract

We investigate blocks of the Category O{script} for the Virasoro algebra over C. We demonstrate that the blocks have Kazhdan-Lusztig theories and that the truncated blocks give rise to interesting Koszul algebras. The simple modules have BGG resolutions, and from this we compute the extensions between Verma modules and simple modules, and between pairs of simple modules.

Publication Name

Pacific Journal of Mathematics

Volume Number

234

First Page

1

Last Page

21

Issue Number

1

DOI

10.2140/pjm.2008.234.1

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