Monomial Realization of Crystal Bases <Emphasis Type="Italic">B</Emphasis>(∞) for the Quantum Finite Algebras |
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| Authors: | Jeong-Ah Kim Dong-Uy Shin |
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| Institution: | (1) Department of Mathematics, University of Seoul, Seoul, 130-743, Korea;(2) Department of Mathematics, Chonnam National University, Gwangju, 500-757, Korea |
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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(∞).
Presented by Alain Verschoren. |
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| Keywords: | Crystal basis Quantum qroups Nakajima monomials Kashiwara embedding |
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