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Quantum deformations of imaginary Verma modules

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Authors
Cox, Ben; Futorny, Viatcheslav; Kang, Seok-Jin; Melville, Duncan
Issue Date
1997
Publisher
Oxford University Press
Citation
Proc . London Math . Soc . (3) 74 (1997) 52 – 80
Keywords
imaginary Verma modulesQuantum deformations
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.
ISSN
0024-6115 (Print)
1460-244X (Online)
Language
English
URI
https://hdl.handle.net/10371/12169
DOI
https://doi.org/10.1112/S0024611597000038
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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