Results 1 to 10 of about 2,896 (106)
Plane partitions and the combinatorics of some families of reduced Kronecker coefficients. [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We compute the generating function of some families of reduced Kronecker coefficients. We give a combi- natorial interpretation for these coefficients in terms of plane partitions.
Laura Colmenarejo
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Quasipolynomial formulas for the Kronecker coefficients indexed by two two―row shapes (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We show that the Kronecker coefficients indexed by two two―row shapes are given by quadratic quasipolynomial formulas whose domains are the maximal cells of a fan.
Emmanuel Briand +2 more
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The complexity of computing Kronecker coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Kronecker coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the symmetric group $S_n$. They can also be interpreted as the coefficients of the expansion of the internal product of two Schur ...
Peter Bürgisser, Christian Ikenmeyer
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Stability of Kronecker coefficients via discrete tomography (Extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 In this paper we give a sufficient condition for a general stability of Kronecker coefficients, which we call additive stability. Its main ingredient is the property of a matrix of being additive.
Ernesto Vallejo
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Kronecker coefficients: the tensor square conjecture and unimodality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the $S_n$-irreducible representation indexed by the staircase partition
Igor Pak, Greta Panova, Ernesto Vallejo
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A diagrammatic approach to Kronecker squares [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In this paper we improve a method of Robinson and Taulbee for computing Kronecker coefficients and show that for any partition $\overline{ν}$ of $d$ there is a polynomial $k_{\overline{ν}}$ with rational coefficients in variables $x_C$, where $C$ runs ...
Ernesto Vallejo
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Breaking down the reduced Kronecker coefficients
Comptes Rendus. Mathématique, 2020 We resolve three interrelated problems on reduced Kronecker coefficients $\overline{g}(\alpha ,\beta ,\gamma )$. First, we disprove the saturation property which states that $\overline{g}(N\alpha ,N\beta ,N\gamma )>0$ implies $\overline{g}(\alpha ,\beta ,
Pak, Igor, Panova, Greta
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Invariance properties for coefficients of symmetric functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We show that several of the main structural constants for symmetric functions (Littlewood-Richardsoncoefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share invarianceproperties related to the operations of ...
Emmanuel Briand +2 more
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Partition algebra and Kronecker product [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We propose a new approach to study the Kronecker coefficients by using the Schur–Weyl duality between the symmetric group and the partition algebra.
Christopher Bowman +2 more
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Elliptic modular graph forms. Part I. Identities and generating series
Journal of High Energy Physics, 2021 Elliptic modular graph functions and forms (eMGFs) are defined for arbitrary graphs as natural generalizations of modular graph functions and forms obtained by including the character of an Abelian group in their Kronecker-Eisenstein series. The simplest
Eric D’Hoker +2 more
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