Quantum affine modules for non-twisted Affine Kac-Moody algebras
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- by V. Futorny, J. T. Hartwig and E. A. Wilson PDF
- Proc. Amer. Math. Soc. 143 (2015), 5159-5171 Request permission
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.References
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Additional Information
- V. Futorny
- Affiliation: Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo SP, Brazil
- MR Author ID: 238132
- Email: futorny@ime.usp.br
- J. T. Hartwig
- Affiliation: Department of Mathematics,University of California Riverside, Riverside, California 92521
- MR Author ID: 776335
- 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
- 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
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 5159-5171
- MSC (2010): Primary 17B37; Secondary 17B67, 17B10
- DOI: https://doi.org/10.1090/proc/12663
- MathSciNet review: 3411134