Matrix factorizations for quantum complete intersections
نویسندگان
چکیده
منابع مشابه
Matrix Factorizations for Complete Intersections and Minimal Free Resolutions
Matrix factorizations of a hypersurface yield a description of the asymptotic structure of minimal free resolutions over the hypersurface, and also define a functor to the stable module category of maximal Cohen-Macaulay modules on the hypersurface. We introduce a new functorial concept of matrix factorizations for complete intersections that allows us to describe the asymptotic structure of mi...
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We introduce a class of noncommutatative algebras called representation complete intersections (RCI). A graded associative algebra A is said to be RCI provided there exist arbitrarily large positive integers n such that the scheme Rep n A, of n-dimensional representations of A, is a complete intersection. We discuss examples of RCI algebras, including those arising from quivers. There is anothe...
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We construct a minimal projective bimodule resolution for every finite dimensional quantum complete intersection of codimension two. Then we use this resolution to compute both the Hochschild cohomology and homology for such an algebra. In particular, we show that the cohomology vanishes in high degrees, while the homology is always nonzero.
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ژورنال
عنوان ژورنال: Journal of Homotopy and Related Structures
سال: 2019
ISSN: 2193-8407,1512-2891
DOI: 10.1007/s40062-019-00234-3