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Modified Nakajima monomials and the crystal B(∞)
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Seok-Jin | - |
dc.contributor.author | Kim, Jeong-Ah | - |
dc.contributor.author | Shin, Dong-Uy | - |
dc.date.accessioned | 2009-11-16 | - |
dc.date.available | 2009-11-16 | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | J. Algebra 308 (2007) 524-535 | en |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | https://hdl.handle.net/10371/12162 | - |
dc.description.abstract | In this paper, we give a new realization of the crystal B(∞) using modified Nakajima monomials. For the quantum affine algebras of type A^(1)_n, we give an explicit characterization of the monomials in B(∞), and construct a natural crystal isomorphism between monomial realization and path realization. As a corollary, we obtain a new realization of the crystal B(∞) for the quantum classical algebras of type A_n. | en |
dc.description.sponsorship | This research is supported in part by SNU Foundation in 2004 and KRF Grant #2003-070-C00001. | en |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.subject | Crystal bases | en |
dc.subject | Modified Nakajima monomials | en |
dc.title | Modified Nakajima monomials and the crystal B(∞) | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 강석진 | - |
dc.contributor.AlternativeAuthor | 김정아 | - |
dc.contributor.AlternativeAuthor | 신동의 | - |
dc.identifier.doi | 10.1016/j.jalgebra.2006.09.022 | - |
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