Geometric complexity theory iv

  • Geometric complexity theory is an approach towards proving lower bounds in algebraic complexity theory via methods from algebraic geometry and representation theory.
    It was introduced by Mulmuley and Sohoni and has gained significant momentum over the last few years.
A fundamental open problem in algebraic combinatorics is to find a positive combinatorial formula for these coefficients. The authors construct two quantum 
The Kronecker coefficient gλμν is the multiplicity of the GL(V) × GL(W)-irreducible Vλ⊗Wμ in the restriction of the GL(X)-irreducible Xν via the natural map GL(V) × GL(W)→GL(V⊗W), where V,W are C-vector spaces and X=V⊗W. A fundamental open problem Google BooksOriginally published: 2015Authors: Ketan Mulmuley, Jonah Blasiak, and Milind Sohoni
They show that the nonstandard quantum group has a compact real form and its representations are completely reducible, that the nonstandard Hecke algebra is 

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