[图书][B] Geometric complexity theory IV: nonstandard quantum group for the Kronecker problem
J Blasiak, K Mulmuley, M Sohoni - 2015 - ams.org
Abstract The Kronecker coefficient $ g_ {\lambda\mu\nu} $ is the multiplicity of the $ GL
(V)\times GL (W) $-irreducible $ V_\lambda\otimes W_\mu $ in the restriction of the $ GL (X)
$-irreducible $ X_\nu $ via the natural map $ GL (V)\times GL (W)\to GL (V\otimes W) $,
where $ V, W $ are $\mathbb {C} $-vector spaces and $ X= V\otimes W $. A fundamental
open problem in algebraic combinatorics is to find a positive combinatorial formula for these
coefficients.
(V)\times GL (W) $-irreducible $ V_\lambda\otimes W_\mu $ in the restriction of the $ GL (X)
$-irreducible $ X_\nu $ via the natural map $ GL (V)\times GL (W)\to GL (V\otimes W) $,
where $ V, W $ are $\mathbb {C} $-vector spaces and $ X= V\otimes W $. A fundamental
open problem in algebraic combinatorics is to find a positive combinatorial formula for these
coefficients.
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