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math.RT2024
The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order
Portia X. Anderson, Esther Banaian, Melanie J. Ferreri +7
For integral weights and of a classical simple Lie algebra , Kostant's weight multiplicity formula gives the multiplicity of the weight in the irreducible…
math.CO2024
Centralizers in the plactic monoid
Bruce E. Sagan, Alexander N. Wilson
Let u be a word over the positive integers. Motivated in part by a question from representation theory, we study the centralizer set of u which is C(u) = {w | uw is Knuth-equivalen…