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math.RA2019★ 2 cited
Combinatorial study of stable categories of graded Cohen--Macaulay modules over skew quadric hypersurfaces
Akihiro Higashitani, Kenta Ueyama
In this paper, we present a new connection between representation theory of noncommutative hypersurfaces and combinatorics. Let be a graded ()-skew polynomial algebra in…
math.RA2019★ 15 cited
Noncommutative Knörrer's periodicity theorem and noncommutative quadric hypersurfaces
Izuru Mori, Kenta Ueyama
Noncommutative hypersurfaces, in particular, noncommutative quadric hypersurfaces are major objects of study in noncommutative algebraic geometry. In the commutative case, Knörrer'…
math.RT2019★ 1 cited
Hochschild cohomology related to graded down-up algebras with weights
Ayako Itaba, Kenta Ueyama
Let be a graded down-up algebra with and , and let be the Beilinson algebra of . If , then a descriptio…