Symmetric Complete Intersections

Abstract

We consider complete intersection ideals in a polynomial ring over a field of characteristic zero that are stable under the action of the symmetric group permuting the variables. We determine the possible representation types for these ideals, and describe formulas for the graded characters of the corresponding quotient rings.

14 pages, includes referee's suggestions for publication in Communications in Algebra

Cited by in corpus (2)

• Setting the scene for Betti characters
• Degrees of regular sequences with a symmetric group action