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arxiv: 1604.01101 · v2 · pith:NAHA26WNnew · submitted 2016-04-05 · 🧮 math.AC · math.RT

Symmetric Complete Intersections

classification 🧮 math.AC math.RT
keywords completeidealssymmetricactioncharacteristiccharactersconsidercorresponding
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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.

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