15 citations · 43 across the 5 of their papers we have counts for
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math.RA2004★ 5 cited
Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem
William Crawley-Boevey, Peter Shaw
We introduce a family of algebras which are multiplicative analogues of preprojective algebras, and their deformations, as introduced by M. P. Holland and the first author. We show…
math.RA2001
Absolutely indecomposable representations and Kac-Moody Lie algebras (with an appendix by Hiraku Nakajima)
William Crawley-Boevey, Michel Van den Bergh
A conjecture of Kac states that the polynomial counting the number of absolutely indecomposable representations of a quiver over a finite field with given dimension vector has posi…
math.RA2001
On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero
William Crawley-Boevey
We determine those k-tuples of conjugacy classes of matrices, from which it is possible to choose matrices which have no common invariant subspace and have sum zero. This is an add…