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Quantum affine modules for non-twisted Affine Kac-Moody algebras


Authors: V. Futorny, J. T. Hartwig and E. A. Wilson
Journal: Proc. Amer. Math. Soc. 143 (2015), 5159-5171
MSC (2010): Primary 17B37; Secondary 17B67, 17B10
Published electronically: June 18, 2015
MathSciNet review: 3411134
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Abstract: We construct new irreducible weight modules over quantum affine algebras of type I with all weight spaces infinite dimensional. These modules are obtained by parabolic induction from irreducible modules over the Heisenberg subalgebra.


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Additional Information

V. Futorny
Affiliation: Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo SP, Brazil
Email: futorny@ime.usp.br

J. T. Hartwig
Affiliation: Department of Mathematics,University of California Riverside, Riverside, California 92521
Email: hartwig@math.ucr.edu

E. A. Wilson
Affiliation: Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, New Jersey 08854-8019
Email: eaw132@scarletmail.rutgers.edu

DOI: https://doi.org/10.1090/proc/12663
Received by editor(s): May 20, 2014
Received by editor(s) in revised form: October 23, 2014
Published electronically: June 18, 2015
Communicated by: Kailash Misra
Article copyright: © Copyright 2015 American Mathematical Society