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math-ph2017
Factorizations of symmetric Macdonald polynomials
Laura Colmenarejo, Charles F. Dunkl, Jean-Gabriel Luque
We prove many factorization formulas for highest weight Macdonald polynomials indexed by particular partitions called quasistaircases. As a consequence we prove a conjecture of Ber…
math.CO2017★ 4 cited
A minimaj-preserving crystal on ordered multiset partitions
Georgia Benkart, Laura Colmenarejo, Pamela E. Harris +4
We provide a crystal structure on the set of ordered multiset partitions, which recently arose in the pursuit of the Delta Conjecture. This conjecture was stated by Haglund, Remmel…