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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…