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Crystal bases of the Fock space representations and string functions
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Seok-Jin | - |
dc.contributor.author | Kwon, Jae-Hoon | - |
dc.date.accessioned | 2009-11-15T23:32:17Z | - |
dc.date.available | 2009-11-15T23:32:17Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | J. Algebra 280 (2004) 313-349 | en |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | https://hdl.handle.net/10371/12156 | - |
dc.description.abstract | Let U_q(g) be the quantum affine algebra of type A_n^(1), A_2n−1^(2), A_2n^(2), B_n^(1), D_n^(1), and D_n+1^(2), and let F(Λ) be the Fock space representation for a level 1 dominant integral weight Λ. Using the crystal basis of F(Λ) and its characterization in terms of abacus, we construct an explicit bijection between the set of weight vectors in F(Λ)_{λ-m \delta} (m \geq 0) for a maximal weight λ and the set of certain ordered sequences of partitions. As a corollary, we obtain the string function of the basic representation V(Λ). | en |
dc.description.sponsorship | This research was supported by KRF grant 2003-070-C00001. | en |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.subject | Quantum affine algebra | en |
dc.subject | Fock space representation | en |
dc.subject | Crystal basis | en |
dc.subject | String function | en |
dc.title | Crystal bases of the Fock space representations and string functions | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 강석진 | - |
dc.contributor.AlternativeAuthor | 권재훈 | - |
dc.identifier.doi | 10.1016/j.jalgebra.2004.04.013 | - |
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