Hooks generate the representation ring of the symmetric group

  • Marin I
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Abstract

We prove that the representation ring of the symmetric group on n letters is generated by the exterior powers of its natural (n- 1)-dimensional representation. The proof we give illustrates a strikingly simple formula due to Dvir. We provide an application and investigate a possible generalization of this result to some other reflection groups. © 2012 Elsevier Ltd.

Author-supplied keywords

  • Representation rings
  • Symmetric group

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Authors

  • Ivan Marin

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