• A Geometric Approach to the Kronecker Problem I: The Two Row Case

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/118/02/0213-0226

    • Keywords

       

      Kronecker product; symmetric group representations; geometric complexity.

    • Abstract

       

      Given two irreducible representations $\mu,\upsilon$ of the symmetric group $S_d$, the Kronecker problem is to find an explicit rule, giving the multiplicity of an irreducible representation, 𝜆, of $S_d$, in the tensor product of 𝜇 and 𝜐. We propose a geometric approach to investigate this problem. We demonstrate its effectiveness by obtaining explicit formulas for the tensor product multiplicities, when the irreducible representations are parameterized by partitions with at most two rows.

    • Author Affiliations

       

      Bharat Adsul1 K V Subrahmanyam1

      1. Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Padur P.O., Siruseri 603 103, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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