"A Structure Theorem on Modular Coinvariants"
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
Place: Mathematics Seminar Room, SA-141
All are most cordially invited.
Tea and biscuits: before the seminar