The Face Semigroup Algebra of a Hyperplane Arrangement
نویسندگان
چکیده
منابع مشابه
The Face Semigroup Algebra of a Hyperplane Arrangement
This article presents a study of an algebra spanned by the faces of a hyperplane arrangement. The quiver with relations of the algebra is computed and the algebra is shown to be a Koszul algebra. It is shown that the algebra depends only on the intersection lattice of the hyperplane arrangement. A complete systemof primitive orthogonal idempotents for the algebra is constructed and other algebr...
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We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomology of X. We study invariants of X that can be deduced from this resolution. A key ingredient is a result of Aramova, Avramov, and Herzog (2000) on resolutions of monomial ideals in the exterior algebra. We give a ne...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2009
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2009-046-2