3 papers
math.RT2025
Eigenvalues of Heckman-Polychronakos operators
Charles Dunkl, Vadim Gorin
Heckman-Polychronakos operators form a prominent family of commuting differential-difference operators defined in terms of the Dunkl operators as $\mathcal P_m= \sum…
math.RT2025
Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups
Charles F. Dunkl
A Young subgroup of the symmetric group , the permutation group of , is generated by a subset of the adjacenttranspositions $\{ ( i,i+1) \mid 1\…
math.RT2025
Some spherical function values for two-row tableaux and Young subgroups with three factors
Charles F. Dunkl
A Young subgroup of the symmetric group with three factors, is realized as the stabilizer of a monomial ( $=x_{1}^{λ_{1}}x_{2}^{λ_{2}}\cdots x_{N…