Virtual Crystals and Nakajima Monomials
Ben Salisbury, Travis Scrimshaw
TL;DR
This paper provides an explicit description of the virtualization map and Lusztig data for modified Nakajima monomials in type A, enhancing understanding of crystal structures in representation theory.
Contribution
It introduces a detailed description of the virtualization map and Lusztig data specifically for modified Nakajima monomials in type A.
Findings
Explicit virtualization map for modified Nakajima monomials
Detailed Lusztig data description for type A
Improved understanding of crystal models
Abstract
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 Nakajima monomials in type .
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