Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras.
Higher order derivations of modules
Higher-dimensional Auslander-Reiten sequences
Zhou and Zhu have shown that if is an -angulated category and is a cluster tilting subcategory of , then the quotient category is an -abelian category. We show that if has Auslander-Reiten -angles, then has Auslander-Reiten -exact sequences.
Higher-dimensional cluster combinatorics and representation theory
Higher Auslander algebras were introduced by Iyama generalizing classical concepts from representation theory of finite-dimensional algebras. Recently these higher analogues of classical representation theory have been increasingly studied. Cyclic polytopes are classical objects of study in convex geometry. In particular, their triangulations have been studied with a view towards generalizing the rich combinatorial structure of triangulations of polygons. In this paper, we demonstrate a connection...
Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup
We prove that blocks of the general linear supergroup are Morita equivalent to a limiting version of Khovanov's diagram algebra. We deduce that blocks of the general linear supergroup are Koszul.
Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions
The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.
Hintereinanderausführung von Formen.
Hochschild and cyclic homology of -algebras.
Hochschild cohomology and deformations of Clifford-Weyl algebras.
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.
Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules
We compute the algebraic and continuous Hochschild cohomology groups of certain Fréchet algebras of analytic functions on a domain U in with coefficients in one-dimensional bimodules. Among the algebras considered, we focus on A=A(U). For this algebra, our results apply if U is smoothly bounded and strictly pseudoconvex, or if U is a product domain.
Hochschild cohomology of Auslander algebras
Hochschild cohomology of complex spaces and Noetherian schemes.
Hochschild cohomology of generalized multicoil algebras
We determine the Hochschild cohomology of all finite-dimensional generalized multicoil algebras over an algebraically closed field, which are the algebras for which the Auslander-Reiten quiver admits a separating family of almost cyclic coherent components. In particular, the analytically rigid generalized multicoil algebras are described.
Hochschild cohomology of piecewise hereditary algebras
Hochschild Cohomology of skew group rings and invariants
Let A be a k-algebra and G be a group acting on A. We show that G also acts on the Hochschild cohomology algebra HH ⊙ (A) and that there is a monomorphism of rings HH ⊙ (A) G→HH ⊙ (A[G]). That allows us to show the existence of a monomorphism from HH ⊙ (Ã) G into HH ⊙ (A), where à is a Galois covering with group G.
Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras
We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of the generalized Taft algebras. We show, for these deformations, that the Hochschild cohomology ring modulo nilpotence is a finitely generated commutative algebra of Krull dimension 2.
Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type
The reconstruction algebra is a generalization of the preprojective algebra, and plays important roles in algebraic geometry and commutative algebra. We consider the homological property of this class of algebras by calculating the Hochschild homology and Hochschild cohomology. Let be the Yoneda algebra of a reconstruction algebra of type over a field t-dimensions of all Hochschild homology and cohomology groups of are calculated explicitly.
Hochschild cohomology rings of algebras .
Hochschild homology and cohomology of generalized Weyl algebras
We compute Hochschild homology and cohomology of a class of generalized Weyl algebras, introduced by V. V. Bavula in St. Petersbourg Math. Journal, 4 (1) (1999), 71-90. Examples of such algebras are the n-th Weyl algebras, , primitive quotients of , and subalgebras of invariants of these algebras under finite cyclic groups of automorphisms. We answer a question of Bavula–Jordan (Trans. A.M.S., 353 (2) (2001), 769-794) concerning the generators of the group of automorphisms of a generalized Weyl...