Computing inverses

Computer Science/Discrete Mathematics Seminar II
Topic:Computing inverses
Speaker:Louis Rowen
Affiliation:Bar Ilan University
Date:Tuesday, February 24
Time/Room:10:30am - 12:30pm/S-101
Video Link:http://video.ias.edu/csdm/2015/0224-LouisRowen

We compare methods of computing inverses of matrices over division rings. The most direct way is via Cohn's theory of full matrices, which was improved by Malcolmson, Schofield, and Westreich. But it is simpler to work with finite dimensional representations and generic matrices. In this talk, mostly expository, we describe the relevant algebraic techniques, including a description of full matrices, Sylvester rank functions, coproducts, and generic division algebras and its underlying theory of polynomial identities.