Abstract
Given two irreducible representations µ, v 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 v. 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.
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Adsul, B., Subrahmanyam, K.V. A geometric approach to the Kronecker problem I: The two row case. Proc Math Sci 118, 213–226 (2008). https://doi.org/10.1007/s12044-008-0014-8
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DOI: https://doi.org/10.1007/s12044-008-0014-8