Letters in Mathematical Physics

, Volume 10, Issue 2–3, pp 111–124

Schubert polynomials and the Littlewood-Richardson rule

  • Alain Lascoux
  • Marcel-Paul Schützenberger
Article
  • 150 Downloads

Abstract

The decomposition of a product of two irreducible representations of a linear group Gl(N, ℂ) is explicitly given by the Littlewood-Richardson rule, which amounts to finding how many Young tableaux satisfy certain conditions. We obtain more general multiplicities by generating ‘vexillary’ permutations and by using partially symmetrical polynomials (Schubert polynomials).

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Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • Alain Lascoux
    • 1
  • Marcel-Paul Schützenberger
    • 1
  1. 1.LITPUER Maths Paris 7Paris Cedex 05France

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