145 citations · 1.2k across the 85 of their papers we have counts for
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Macdonald polynomials in superspace: conjectural definition and positivity conjectures
O. Blondeau-Fournier, P. Desrosiers, L. Lapointe +1
We introduce a conjectural construction for an extension to superspace of the Macdonald polynomials. The construction, which depends on certain orthogonality and triangularity rela…
Half-lattice paths and Virasoro characters
Olivier B. -Fournier, Pierre Mathieu, Trevor A. Welsh
We first briefly review the role of lattice paths in the derivation of fermionic expressions for the M(p,p') minimal model characters of the Virasoro Lie algebra. We then focus on…
Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
The Jack polynomials P_λ^{(α)} at α=-(k+1)/(r-1) indexed by certain (k,r,N)-admissible partitions are known to span an ideal I^{(k,r)}_N of the space of symmetric functions in N va…