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11 papers · 1 filter
Candidate for the crystal for the queer Lie superalgebra
Ben Salisbury, Travis Scrimshaw
It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the c…
Rigged configurations and the -involution for generalized Kac--Moody algebras
Ben Salisbury, Travis Scrimshaw
We construct a uniform model for highest weight crystals and for generalized Kac--Moody algebras using rigged configurations. We also show an explicit description of th…
PBW bases and marginally large tableaux in types B and C
Jackson Criswell, Ben Salisbury, Peter Tingley
We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally larg…
The weight function for monomial crystals of affine type
Luke James, Ben Salisbury
In this work, an expression for the affine weight is calculated for Nakajima monomial crystals in affine types and .
Virtual Crystals and Nakajima Monomials
Ben Salisbury, Travis Scrimshaw
An explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified…
PBW bases and marginally large tableaux in type D
Ben Salisbury, Adam Schultze, Peter Tingley
We give an explicit description of the unique crystal isomorphism between two realizations of in type : that using marginally large tableaux and that using PBW monom…