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Artículo
Partial symmetries of iterated plethysms
(Springer, 2023-05-03)
This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The plethystic coefficients involved come from the expansion in the Schur basis of iterated plethysms of Schur ...
Artículo
Vector partition functions and Kronecker coefficients
(IOP Science, 2021-04-01)
The Kronecker coefficients are the structure constants for the restriction of irreducible representations of the general linear group GL(nm) into irreducibles for the subgroup GL(n) × GL(m). In this work we study the ...
Artículo
Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients
(Académie des Sciences, 2023-01-26)
We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce necessary conditions for the positivity of the plethystic coefficients. Explicitly, our main result ...