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Quantum deformations of imaginary Verma modules
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cox, Ben | - |
dc.contributor.author | Futorny, Viatcheslav | - |
dc.contributor.author | Kang, Seok-Jin | - |
dc.contributor.author | Melville, Duncan | - |
dc.date.accessioned | 2009-11-16T02:20:21Z | - |
dc.date.available | 2009-11-16T02:20:21Z | - |
dc.date.issued | 1997 | - |
dc.identifier.citation | Proc . London Math . Soc . (3) 74 (1997) 52 – 80 | en |
dc.identifier.issn | 0024-6115 (Print) | - |
dc.identifier.issn | 1460-244X (Online) | - |
dc.identifier.uri | https://hdl.handle.net/10371/12169 | - |
dc.description.abstract | We construct quantum deformations of imaginary Verma modules over ( A (1)
1 )and show that, for generic q, imaginary Verma modules over ( A (1) 1 )can be deformed to those over the quantum group ( A (1) 1 )in such a way that the dimensions of the weight spaces are invariant under the deformation. We also prove the PBW theorem for with respect to the triangular decomposition induced from the root partition corresponding to the imaginary Verma modules. | en |
dc.description.sponsorship | supported in part by Basic Science Research Institute Program ,
Ministry of Education of Korea , BSRI-94-1414 and GARC-KOSEF at Seoul National University , Korea . | en |
dc.language.iso | en | - |
dc.publisher | Oxford University Press | en |
dc.subject | imaginary Verma modules | en |
dc.subject | Quantum deformations | en |
dc.title | Quantum deformations of imaginary Verma modules | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 강석진 | - |
dc.identifier.doi | 10.1112/S0024611597000038 | - |
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