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Tensor Product of Crystal Bases for U_q(gl(m, n))-Modules
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kang, Seok-Jin | - |
| dc.contributor.author | Kwon, Jae-Hoon | - |
| dc.date.accessioned | 2009-11-10T14:19:47Z | - |
| dc.date.available | 2009-11-10T14:19:47Z | - |
| dc.date.issued | 2001 | - |
| dc.identifier.citation | Comm. Math. Phys. 224, 705-732 | en |
| dc.identifier.issn | 0010-3616 (Print) | - |
| dc.identifier.issn | 1432-0916 (Online) | - |
| dc.identifier.uri | https://hdl.handle.net/10371/11866 | - |
| dc.description.abstract | In this paper, we give a combinatorial algorithm of decomposing the tensor
product of U_q(gl(m, n))-crystals. Using the insertion scheme for (m, n)-hook semistandard tableaux, we show that there exists a bijection between the set of Littlewood– Richardson tableaux and the set of genuine highest weight vectors in the tensor product of U_q(gl(m, n))-crystals. Hence the connected components are parametrized by the Littlewood–Richardson tableaux. | en |
| dc.description.sponsorship | Supported by KOSEF Grant # 98-0701-01-05-L and the Young Scientist Award, Korean Academy of Science and Technology. | en |
| dc.language.iso | en | - |
| dc.publisher | Springer Verlag | en |
| dc.subject | U_q (gl(m, n))-crystal | en |
| dc.subject | (m, n)-hook semistandard tableaux | en |
| dc.subject | Littlewood–Richardson tableaux | en |
| dc.subject | genuine highest weight vector | en |
| dc.title | Tensor Product of Crystal Bases for U_q(gl(m, n))-Modules | en |
| dc.type | Article | en |
| dc.contributor.AlternativeAuthor | 강석진 | - |
| dc.contributor.AlternativeAuthor | 권재훈 | - |
| dc.identifier.doi | 10.1007/PL00005591 | - |
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