Quantum loop algebras and l-root operators

Young, Charles (2015) Quantum loop algebras and l-root operators. Transformation Groups, 20 (4). pp. 1195-1226. ISSN 1083-4362

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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.

Item Type	Article
Identification Number	10.1007/s00031-015-9339-4
Additional information	This is the accepted manuscript of the following article: Charles Young, “Quantum loop algebras and l-root operators”, Transformation Groups, Vol. 20(4): 1195-1226, September 2015. The final published version is available at: https://link.springer.com/article/10.1007%2Fs00031-015-9339-4 © Springer Science+Business Media New York (2015)
Date Deposited	15 May 2025 12:50
Last Modified	22 Oct 2025 19:24