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- Title
SOME HOMOLOGICAL PROPERTIES OF THE CATEGORY O, II.
- Abstract
The article discusses the homological and algebraic properties of the category O. It states that the category O is equivalent to the category of mathematical modules over a finite-dimensional Koszul algebra. It focuses on the dominant projective modules and the projective-injective modules in some subcategories of O. It also talks about the use of the O category in these modules for the decomposition of regular representation of the Weyl group into a direct sum of cell modules.
- Subjects
CATEGORIES (Mathematics); HOMOLOGICAL algebra; FINITE groups; KOSZUL algebras; PROJECTIVE modules (Algebra); INJECTIVE modules (Algebra); MATHEMATICAL decomposition; REPRESENTATIONS of categories
- Publication
Representation Theory, 2010, Vol 14, Issue 6, p249
- ISSN
1088-4165
- Publication type
Article
- DOI
10.1090/S1088-4165-10-00368-7