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math-ph2019
Connections between vector-valued and highest weight Jack and Macdonald polynomials
Laura Colmenarejo, Charles F. Dunkl, Jean-Gabriel Luque
We analyze conditions under which a projection from the vector-valued Jack or Macdonald polynomials to scalar polynomials has useful properties, especially commuting with the actio…
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…