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math.RT2019
Singular Nonsymmetric Macdonald Polynomials and Quasistaircases
Laura Colmenarejo, Charles F. Dunkl
Singular nonsymmetric Macdonald polynomials are constructed by use of the representation theory of the Hecke algebras of the symmetric groups. These polynomials are labeled by quas…
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.RT2019
Some Singular Vector-valued Jack and Macdonald Polynomials
Charles F. Dunkl
For each partition of there are irreducible modules of the symmetric groups or the corresponding Hecke algebra whose bas…