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Monomial Realization of Crystal Bases B(∞) for the Quantum Finite Algebras

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Abstract

In this paper, we give a new realization of the crystal basis B(∞) using modified Nakajima monomials for the quantum finite algebras. Moreover, as an application, we obtain the image of the Kashiwara embedding Ψ ι from this realization of B(∞).

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Correspondence to Jeong-Ah Kim.

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Kim, JA., Shin, DU. Monomial Realization of Crystal Bases B(∞) for the Quantum Finite Algebras. Algebr Represent Theor 11, 93–105 (2008). https://doi.org/10.1007/s10468-007-9056-3

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  • DOI: https://doi.org/10.1007/s10468-007-9056-3

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