Irreducible modules for symmetric groups that are summands of their exterior square (Q1630103)
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scientific article; zbMATH DE number 6990647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irreducible modules for symmetric groups that are summands of their exterior square |
scientific article; zbMATH DE number 6990647 |
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Irreducible modules for symmetric groups that are summands of their exterior square (English)
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7 December 2018
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We say that a group representation has the ESQ property if it is isomorphic to a quotient of its own exterior square. In this paper, the author studies the ESQ property for a particular family of irreducible representation of symmetric groups over the complex field. This family corresponds to the partitions with height two, width two, and a hook shape as Young tableaux. That is, the partitions are \((1)\), \((2)\), \((1,1)\) and \((2,1)\).
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exterior square of representation
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permutation character
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Young tableau
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Kronecker coefficient
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