32 citations · 166 across the 19 of their papers we have counts for
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A Burge tree of Virasoro-type polynomial identities
Omar Foda, Keith S. M. Lee, Trevor A. Welsh
Using a summation formula due to Burge, and a combinatorial identity between partition pairs, we obtain an infinite tree of q-polynomial identities for the Virasoro characters χ^{p…
Branching functions of and Jantzen-Seitz problem for Ariki-Koike algebras
O. Foda, B. Leclerc, M. Okado +2
We study the restrictions of simple modules of Ariki-Koike algebras $\H_m(\v)$ with set of parameters , where is an th root of unity, to th…
Combinatorics of solvable lattice models, and modular representations of Hecke algebras
Omar Foda, Bernard Leclerc, Masato Okado +2
We review and motivate recently-observed relationships between exactly solvable lattice models and modular representations of Hecke algebras. Firstly, we describe how the set of $n…
RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity
Omar Foda, Bernard Leclerc, Masato Okado +2
A special family of partitions occurs in two apparently unrelated contexts: the evaluation of 1-dimensional configuration sums of certain RSOS models, and the modular representatio…
Two-Rowed Hecke Algebra Representations at Roots of Unity
T. A. Welsh
In this paper, we initiate a study into the explicit construction of irreducible representations of the Hecke algebra of type in the non-generic case where i…