Hall algebras
Hall algebras and quantum groups.
Hall algebras, hereditary algebras and quantum groups.
Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products
The main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltonian reduction of an algebra of differential operators on a representation space of an extended Dynkin quiver. The existence of such a construction has been conjectured in [EG]. We also present a new approach to reflection functors and shift functors for generalized preprojective algebras and symplectic reflection algebras...
Hicas of length .
Higher dimensional algebra. VII: Groupoidification.
Hochschild cohomology of Auslander algebras
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 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.
Homological domino effects and the first Finitistic Dimension Conjecture.
Homomorphismen von projektiven Räumen und verallgemeinerte semilineare Abbildungen