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The Kronecker coefficients are the structure constants for the restriction of irreducible representations of the general linear group $GL(n m)$ into irreducibles for the subgroup $GL(n)\times GL(m)$.
Eugene Wigner
1937
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Combinatorial remarks on partitions of a multipartite number
G. R. Blakley · 1964
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On vector partition functions
Bernd Sturmfels · 1995
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Singular reduction and quantization
Eckhard Meinrenken and Reyer Sjamaar · 1999
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The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
Mercedes H. Rosas · 2001
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Residue formulae for vector partitions and Euler-MacLaurin sums,
Szenes, András and Vergne, Michèle · 2003
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Requirements for compatibility between local and multipartite quantum states
Sergey Bravyi · 2004
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An invitation to the generalized saturation conjecture
Anatol N. Kirillov · 2004
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Quantum marginal problem and representations of the symmetric group
Alexander Klyachko · 2004
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The Spectra of Quantum States and the Kronecker Coefficients of the Symmetric Group
Matthias Christandl, and Graeme Mitchison · 2006
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The structure of bipartite quantum states - insights from group theory and cryptography
Matthias Christandl · 2006
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Nonzero Kronecker coefficients and what they tell us about spectra
Matthias Christandl, Aram W. Harrow, and Graeme Mitchison · 2007
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Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes
Emmanuel Briand, Rosa Orellana, and Mercedes Rosas · 2009
Cited alongside, same era.
Reduced Kronecker coefficients and counter-examples to Mulmuley’s strong saturation conjecture SH
Computing multiplicities of Lie group representations
Matthias Christandl, Brent Doran, and Michael Walter · 2012
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Generalized stability of Kronecker coefficients, August 2014
John Stembridge · 2014
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On the asymptotics of Kronecker coefficients
Laurent Manivel · 2015
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On the complexity of computing Kronecker coefficients
Igor Pak and Greta Panova · 2017
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Inequalities for moment cones of finite-dimensional representations
Michèle Vergne and Michael Walter · 2017
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Computation of Dilated Kronecker Coefficients, with an appendix by Michael Walter
Velleda Baldoni, Michèle Vergne · 2018
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Emmanuel Briand, Rosa Orellana, and Mercedes Rosas · 2009
Cited alongside, same era.
The stability of the Kronecker product of Schur functions
Emmanuel Briand, Rosa Orellana, and Mercedes Rosas · 2011
Cited alongside, same era.
Some remarks on characters of symmetric groups, Schur functions, Littlewood-Richardson and Kronecker coefficients
Ron King
Cited in the paper.
Breaking down the reduced Kronecker coefficients
Igor Pak, Greta Panova · 2020
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