Symmetric complete intersections

Federico Galetto; Anthony V. Geramita; David L. Wehlau

doi:10.1080/00927872.2017.1372453

Symmetric complete intersections

Federico Galetto
, Anthony V. Geramita
, David L. Wehlau

Mathematics and Statistics

McMaster University
Queen’s University
Royal Military College of Canada

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	2194-2204
Number of pages	11
Journal	Communications in Algebra
Volume	46
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2017.1372453
State	Published - May 4 2018

Keywords

Complete intersection
graded character
symmetric group

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10.1080/00927872.2017.1372453

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title = "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.",

keywords = "Complete intersection, graded character, symmetric group",

author = "Federico Galetto and Geramita, \{Anthony V.\} and Wehlau, \{David L.\}",

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AU - Geramita, Anthony V.

AU - Wehlau, David L.

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N2 - 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.

AB - 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.

KW - Complete intersection

KW - graded character

KW - symmetric group

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JO - Communications in Algebra

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Symmetric complete intersections

Abstract

Keywords

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