Monday, February 9, 2015 4:00 pm
-
4:00 pm
EST (GMT -05:00)
David Riley, Western University
"Hopf algebra actions, gradings, and identical relations"
I will begin by discussing how and when the action of a Hopf algebra H on an algebra A can be viewed as a grading of A. For example, if G is a finite group and H is the dual of the group algebra K[G], then A is an H-algebra precisely when A is group-graded by G. I will then discuss the identical relations of an algebra with a Hopf algebra action. In particular, I will address the following question: when does the existence of an H-identity on A imply the existence of an ordinary polynomial identity on A?
M3 3103