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math.CO2019
Analogs of Schur functions for rank two Weyl groups obtained from grid-like posets
L. Wyatt Alverson, Robert G. Donnelly, Scott J. Lewis +1
In prior work, the authors, along with M. McClard, R. A. Proctor, and N. J. Wildberger, studied certain distributive lattice models for the `Weyl bialternants' (aka `Weyl character…
math.CO2007
Distributive lattices defined for representations of rank two semisimple Lie algebras
L. Wyatt Alverson, Robert G. Donnelly, Scott J. Lewis +4
For a rank two root system and a pair of nonnegative integers, using only elementary combinatorics we construct two posets. The constructions are uniform across the root systems A1…