Nilpotent commutators and reducibility of semigroups
Topic
Let f be a noncommutative polynomial in two variables. Let
mathcal{S} be a multiplicative semigroup of linear operators on a finite-dimensional vector space and T a fixed linear operator such that f(T,S)=0 for all S in mathcal{S}. What can we say about the invariant subspace structure of mathcal{S}? We study special cases of this and other related conditions.
mathcal{S} be a multiplicative semigroup of linear operators on a finite-dimensional vector space and T a fixed linear operator such that f(T,S)=0 for all S in mathcal{S}. What can we say about the invariant subspace structure of mathcal{S}? We study special cases of this and other related conditions.
Speakers
Additional Information
Algebraic Topology Seminar 2007
Matjaz Omladic (University of Waterloo)
Matjaz Omladic (University of Waterloo)