שלחו לחבר

Evaluation of non-commutative polynomials on a quaternion algebra

Seminar
Speaker
Dr. Sergey Malev (Ariel University)
Date
13/11/2019 - 11:30 - 10:30
Place
Third floor seminar room (room 201, building 216)
Abstract

Let p be a multilinear polynomial in several non-commuting variables, with coefficients in an arbitrary field K.  Kaplansky conjectured that for any n, the image of p evaluated on the set M_n(K) of nxn matrices is a vector space.  We settle the analogous conjecture for a quaternion algebra.

תאריך עדכון אחרון : 02/11/2019