3 papers
math.RT2002
Varieties of pairs of nilpotent matrices annihilating each other
Jan Schröer
We classify the irreducible components of the varieties V(n,a,b) of pairs (A,B) of matrices of size n such that AB = BA = 0 and A^a = B^b = 0.
math.RT2002
Radical embeddings and representation dimension
Karin Erdmann, Thorsten Holm, Osamu Iyama +1
Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B coincide, we prove that the representation dimension of A is at most thre…
math.AG2001
Irreducible components of varieties of modules
William Crawley-Boevey, Jan Schröer
We prove some basic results about irreducible components of varieties of modules for an arbitrary finitely generated associative algebra. Our work generalizes results of Kac and Sc…