Monomial realization of crystal bases B(∞) for the quantum finite algebras

Jeong Ah Kim; Dong Uy Shin

doi:10.1007/s10468-007-9056-3

Monomial realization of crystal bases B(∞) for the quantum finite algebras

Jeong Ah Kim, Dong Uy Shin

Department of Mathematics

Chonnam National University

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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(∞).

Original language	English
Pages (from-to)	93-105
Number of pages	13
Journal	Algebras and Representation Theory
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s10468-007-9056-3
State	Published - Mar 2008

Keywords

Crystal basis
Kashiwara embedding
Nakajima monomials
Quantum qroups

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10.1007/s10468-007-9056-3

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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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AB - 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(∞).

KW - Crystal basis

KW - Kashiwara embedding

KW - Nakajima monomials

KW - Quantum qroups

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JF - Algebras and Representation Theory

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Monomial realization of crystal bases B(∞) for the quantum finite algebras

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Keywords

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