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Symmetric complete intersections
Authors:Federico Galetto  Anthony V. Geramita  David L. Wehlau
Affiliation:1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada;2. Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada;3. Department of Mathematics and Computer Science, Royal Military College, Kingston, Ontario, Canada
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:Complete intersection  graded character  symmetric group
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