Decomposing modular coinvariants
Date
2015
Authors
Sezer, M.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Algebra
Print ISSN
0021-8693
Electronic ISSN
1090-266X
Publisher
Elsevier
Volume
423
Issue
Pages
87 - 92
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
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 are a free module over the subalgebra generated by these classes. An incidental result we have is a description of a Gröbner 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. © 2014 Elsevier Inc.