Varieties of pairs of nilpotent matrices annihilating each other

Details Varieties of pairs of nilpotent matrices annihilating each other Varieties of pairs of nilpotent matrices annihilating each other

2002-11-19

arxiv.org/abs/math/0211293v3

Mathematics

Representation Theory

30 pages. This is an improved version of the originally submitted preprint

Scientific paper

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.

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