Generalized Castelnuovo-Mumford regularity for affine Kac-Moody algebras
SCIE
SCOPUS
- Title
- Generalized Castelnuovo-Mumford regularity for affine Kac-Moody algebras
- Authors
- Kang, SJ; Lee, DI; Park, E; Park, H
- Date Issued
- 2011-09-01
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- 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. (C) 2011 Elsevier Inc. All rights reserved.
- Keywords
- Affine Kac-Moody algebras; Castelnuovo-Mumford regularity; Highest weight representations
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/17176
- DOI
- 10.1016/J.JALGEBRA.2011.06.009
- ISSN
- 0021-8693
- Article Type
- Article
- Citation
- JOURNAL OF ALGEBRA, vol. 341, no. 1, page. 13 - 22, 2011-09-01
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