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math.RT2015
Obstructions to combinatorial formulas for plethysm
Thomas Kahle, Mateusz Michalek
Motivated by questions of Mulmuley and Stanley we investigate quasi-polynomials arising in formulas for plethysm. We demonstrate, on the examples of and , that…
math.RT2014★ 17 cited
Plethysm and lattice point counting
Thomas Kahle, Mateusz Michalek
We apply lattice point counting methods to compute the multiplicities in the plethysm of . Our approach gives insight into the asymptotic growth of the plethysm and makes th…
math.RT2012★ 5 cited
Effective constructions in plethysms and Weintraub's conjecture
Laurent Manivel, Mateusz Michalek
We give a short proof of Weintraub's conjecture by constructing explicit highest weight vectors in the symmetric power of an even exterior power.