English

Symmetric Complete Intersections

Commutative Algebra 2018-10-10 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.1604.01101,
  title  = {Symmetric Complete Intersections},
  author = {Federico Galetto and Anthony V. Geramita and David L. Wehlau},
  journal= {arXiv preprint arXiv:1604.01101},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-22T13:25:12.411Z