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On the complexity of computing Kronecker coefficients
We study the complexity of computing Kronecker coefficients g (λ, μ, ν) g (λ, μ, ν). We give
explicit bounds in terms of the number of parts ℓ ℓ in the partitions, their largest part size N …
explicit bounds in terms of the number of parts ℓ ℓ in the partitions, their largest part size N …
Quantum mechanics of bipartite ribbon graphs: Integrality, Lattices and Kronecker coefficients
JB Geloun, S Ramgoolam - arxiv preprint arxiv:2010.04054, 2020 - arxiv.org
We define solvable quantum mechanical systems on a Hilbert space spanned by bipartite
ribbon graphs with a fixed number of edges. The Hilbert space is also an associative …
ribbon graphs with a fixed number of edges. The Hilbert space is also an associative …
[HTML][HTML] Kronecker products, characters, partitions, and the tensor square conjectures
We study the remarkable Saxl conjecture which states that tensor squares of certain
irreducible representations of the symmetric groups S n contain all irreducibles as their …
irreducible representations of the symmetric groups S n contain all irreducibles as their …
[HTML][HTML] The Saxl conjecture and the dominance order
C Ikenmeyer - Discrete Mathematics, 2015 - Elsevier
Abstract In 2012 Jan Saxl conjectured that all irreducible representations of the symmetric
group occur in the decomposition of the tensor square of the irreducible representation …
group occur in the decomposition of the tensor square of the irreducible representation …
Realizability of hypergraphs and high-dimensional contingency tables with random degrees and marginals
N Christo, M Michelen - arxiv preprint arxiv:2408.11116, 2024 - arxiv.org
A result of Deza, Levin, Meesum, and Onn shows that the problem of deciding if a given
sequence is the degree sequence of a 3-uniform hypergraph is NP complete. We tackle this …
sequence is the degree sequence of a 3-uniform hypergraph is NP complete. We tackle this …
Quantum mechanics of bipartite ribbon graphs: Integrality, Lattices and Kronecker coefficients
J Ben Geloun, S Ramgoolam - Algebraic Combinatorics, 2023 - alco.centre-mersenne.org
We define solvable quantum mechanical systems on a Hilbert space spanned by bipartite
ribbon graphs with a fixed number of edges. The Hilbert space is also an associative …
ribbon graphs with a fixed number of edges. The Hilbert space is also an associative …
Kronecker coefficients: the tensor square conjecture and unimodality
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 …
and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the …