Decomposing modular coinvariants

作者：Sezer Mufit^*

来源：Journal of Algebra, 2015, 423: 87-92.

DOI：10.1016/j.jalgebra.2014.08.059

• Coinvariants
• Modular actions

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 are a free module over the subalgebra generated by these classes. An incidental result we have is a description of a Grobner 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.

• 出版日期2015-2-1