Abstract
The graded modules over noncommutative algebras often have minimal free resolutions of infinite length, resulting in infinite Castelnuovo-Mumford regularity. In Kang et al. (2010) [6], we introduced a generalized notion of Castelnuovo-Mumford regularity to overcome this difficulty. In this paper, we compute the generalized Castelnuovo-Mumford regularity for integrable highest weight representations of all affine Kac-Moody algebras. It is shown that the generalized regularity depends only on the type and rank of algebras and the level of representations.
Original language | English |
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Pages (from-to) | 13-22 |
Number of pages | 10 |
Journal | Journal of Algebra |
Volume | 341 |
Issue number | 1 |
DOIs | |
State | Published - 1 Sep 2011 |
Keywords
- Affine Kac-Moody algebras
- Castelnuovo-Mumford regularity
- Highest weight representations