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Nakajima monomials and crystals for special linear Lie algebras

Hyeonmi Lee
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Abstract

We present explicit descriptions of the crystals $\mathcal{B}(\infty)$ and $\mathcal{B}(λ)$ over special linear Lie algebras in the language of \emph{extended Nakajima monomials}. There is a natural correspondence between the monomial description and Young tableau realization, which is another realization of crystals $\mathcal{B}(\infty)$ and $\mathcal{B}(λ)$.

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Hyeonmi Lee. 2006-11-21. Nakajima monomials and crystals for special linear Lie algebras. https://arxiv.org/abs/math/0506147

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