Crystal bases for 𝑈_{𝑞}(Γ(𝜎₁,𝜎₂,𝜎₃))

Zou, Yi Ming

doi:10.1090/S0002-9947-01-02842-2

Crystal bases for $U_{q}(\Gamma (\sigma _{1},\sigma _{2},\sigma _{3}))$
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Trans. Amer. Math. Soc. 353 (2001), 3789-3802 Request permission

Abstract:

We construct crystal bases for certain infinite dimensional representations of the $q$-deformation of the Lie superalgebra $\Gamma (\sigma _{1},\sigma _{2}, \sigma _{3})$.

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