Now showing items 1-10 of 825
Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
Finite presentability and the homological type FPm for a class of Hopf algebras
(Taylor & Francis IncPhiladelphiaEUA, 2006)
On the multi-Koszul property for connected algebras
(Univ Bielefeld, 2013-12)
In this article we introduce the notion of multi-Koszul algebra for the case of a locally finite dimensional nonnegatively graded connected algebra, as a generalization of the notion of (generalized) Koszul algebras defined ...
Tilt-critical algebras of tame type
(TAYLOR & FRANCIS INC, 2008)
Let A be a finite dimensional k-algebra over an algebraically closed field. Assume A=kQ/I where Q is a quiver without oriented cycles. We say that A is tilt-critical if it is not tilted but every proper convex subcategory ...
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II: Unipotent classes in symplectic groups
(World Scientific, 2016-08)
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal ...
Finite-dimensional pointed or copointed Hopf algebras over affine racks
(Academic Press Inc Elsevier Science, 2014-01)
We study the pointed or copointed liftings of Nichols algebras associated to affine racks and constant cocycles for any finite group admitting a principal YD-realization of these racks. In the copointed case we complete ...
Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
(European Mathematical Society, 2014-01)
Let M(n) be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms. It is a classical result that M(n) the class of all derived algebras ...
Finite subgroups in algebras and cohomology
We give a cohomological characterization of the set of conjugacy classes of finite subgroups of the projective multiplicative group of a finite dimensional algebra that become conjugate to a given group over some finite ...