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        Quantum loop algebras and l-root operators

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        Accepted_Manuscript.pdf (PDF, 904Kb)
        Author
        Young, Charles
        Attention
        2299/18970
        Abstract
        Let g be a simple Lie algebra and q transcendental. We consider the category C_P of finite-dimensional representations of the quantum loop algebra Uq(Lg) in which the poles of all l-weights belong to specified finite sets P. Given the data (g,q,P), we define an algebra A whose raising/lowering operators are constructed to act with definite l-weight (unlike those of Uq(Lg) itself). It is shown that there is a homomorphism Uq(Lg) -> A such that every representation V in C_P is the pull-back of a representation of A.
        Publication date
        2015-12-01
        Published in
        Transformation Groups
        Published version
        https://doi.org/10.1007/s00031-015-9339-4
        Other links
        http://hdl.handle.net/2299/18970
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