17 citations · 60 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Normality of Marsden-Weinstein reductions for representations of quivers
William Crawley-Boevey
We prove that the Marsden-Weinstein reductions for the moment map associated to representations of a quiver are normal varieties. We give an application to conjugacy classes of mat…
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…
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…