Algebra Seminar

Tue., Nov. 8, 2016 1:30 p.m. - Tue., Nov. 8, 2016 2:30 p.m.

Location: Mathematics and Statistics Lounge, CW307.20

Speaker: Gurmail Singh, University of Regina

Title: Normalized torsion units of integral reality-based algebras with pseudo-standard characters

Abstract:

Abstract: A reality-based algebra is a finite-dimensional associative algebra with involution over the field of complex numbers whose distinguished basis contains the identity element and is closed under pseudo-inverse. A reality-based algebra with a positive degree map and rational multiplicities possesses a pseudo-standard character. In this talk we will discuss the possible constraints on orders of the normalized torsion units of integral reality-based algebras with pseudo-standard characters.