Evaluation of non-commutative polynomials on a quaternion algebra
Seminar
Speaker
Dr. Sergey Malev (Ariel University)
Date
13/11/2019 - 11:30 - 10:30Add to Calendar
2019-11-13 10:30:00
2019-11-13 11:30:00
Evaluation of non-commutative polynomials on a quaternion algebra
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.
Third floor seminar room (room 201, building 216)
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
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.
Last Updated Date : 02/11/2019
