"A Structure Theorem on Modular
Coinvariants"
By
Abstract: We consider the ring of coinvariants
for a modular representation of a cyclic group of prime order p. We show that
the classes of the terminal variables in the coinvariants
have nilpotency degree p and that the coinvariants is
a free module over the subalgebra generated by these classes.
An incidental result we have is a description of a Groebner
basis for the Hilbert ideal and a decomposition of the corresponding monomial
basis for the coinvariants with respect to the
monomials in the terminal variables.
Date: Monday, October 20, 2014
Time: 15.40-17.30
Place: Mathematics Seminar Room,
SA-141
All are most cordially invited.
Tea and biscuits: before the seminar