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math.CO2026
A new characterization of right keys, and the -symmetric Schur functions at
Luc Lapointe, Luis Pena
The ring of -symmetric functions consists of the formal power series that are symmetric in the variables but carry no symmetry in the first var…
math.CO2026
A proof of the -Symmetric Macdonald positivity at
Luc Lapointe, Luis Pena
We prove, in the case , the extension to the -symmetric world of the original Macdonald positivity conjecture. This is achieved by giving a combinatorial interpretation of…
math.CO2023
The -symmetric Macdonald polynomials
Manuel Concha, Luc Lapointe
The -symmetric Macdonald polynomials form a basis of the space of polynomials that are symmetric in the variables (while having no special symmetry in th…