Connections between vector-valued and highest weight Jack and Macdonald polynomials
Connections between vector-valued and highest weight Jack and Macdonald polynomials
We analyze conditions under which a projection from the vector-valued Jack orMacdonald polynomials to scalar polynomials has useful properties, specially commuting with the actions of the symmetric group or Hecke algebra, respectively, and with the Cherednik operators for which these polynomials are eigenfunctions. In the framework of representation theory of …