21 citations · 267 across the 50 of their papers we have counts for
6 papers · 1 filter
On the structure and representation theory of -deformed Clifford algebras
Willie Aboumrad, Travis Scrimshaw
We provide a generalized definition for the quantized Clifford algebra introduced by Hayashi using another parameter that we call the twist. For a field of characteristic not e…
Limit shapes for skew Howe duality
Dan Betea, Anton Nazarov, Travis Scrimshaw
We study large random partitions boxed into a rectangle and coming from skew Howe duality, or alternatively from dual Schur measures. As the sides of the rectangle go to infinity,…
Cellular subalgebras of the partition algebra
Travis Scrimshaw
We describe various diagram algebras and their representation theory using cellular algebras of Graham and Lehrer and the decomposition into half diagrams. In particular, we show t…
Free-fermions and canonical Grothendieck polynomials
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw
We give a presentation of refined (dual) canonical Grothendieck polynomials and their skew versions using free-fermions. Using this, we derive a number of identities, including the…
Crystal invariant theory II: Pseudo-energies
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
The geometric crystal operators and geometric -matrices (or geometric Weyl group actions) give commuting actions on the field of rational functions in variables. We study t…
Integrable systems and crystals for edge labeled tableaux
Ajeeth Gunna, Travis Scrimshaw
We introduce the edge Schur functions that are defined as a generating series over edge labeled tableaux. We formulate as the partition function for a solvable lattice…