32 citations · 166 across the 19 of their papers we have counts for
5 papers · 1 filter
Mixed symmetries of S_n: immanants in the sampling of U(d) submatrices
Jacob Daigle, Hubert de Guise, Trevor Welsh
We provide results on the mean and higher moments of immanants of submatrices of ensembles of Haar-distributed unitary matrices, mostly without proofs. This paper is based on a tal…
A quartet of fermionic expressions for Virasoro characters via half-lattice paths
Olivier Blondeau-Fournier, Pierre Mathieu, Trevor A Welsh
We derive new fermionic expressions for the characters of the Virasoro minimal models by analysing the recently introduced half-lattice paths. These fermionic express…
Cylindric partitions, W_r characters and the Andrews-Gordon-Bressoud identities
O. Foda, T. A. Welsh
We study the Andrews-Gordon-Bressoud (AGB) generalisations of the Rogers-Ramanujan q-series identities in the context of cylindric partitions. We recall the definition of r-cylindr…
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…
Andrews-Gordon identities from combinations of Virasoro characters
Boris Feigin, Omar Foda, Trevor Welsh
For p \in {3, 4} and all p' > p, with p' coprime to p, we obtain fermionic expressions for the combination χ^{p, p'}_{1, s} + q^Δ χ^{p, p'}_{p-1,s} of Virasoro (W_2) characters for…