Finite dimensional modules for multiloop superalgebras of types $A(m,n)$ and $C(m)$
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Abstract:
In this article we construct a new class of finite dimensional irreducible modules generalizing evaluation modules for multiloop superalgebras of types $A(m,n)$ and $C(m)$. We prove that these are the only such modules. In all other cases it is known that such modules are evaluation modules.References
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Additional Information
- S. Eswara Rao
- Affiliation: School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
- Email: senapati@math.tifr.res.in
- Received by editor(s): September 15, 2011
- Received by editor(s) in revised form: December 23, 2011
- Published electronically: June 21, 2013
- Communicated by: Kailash C. Misra
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3411-3419
- MSC (2010): Primary 17B65; Secondary 17B67, 17B10
- DOI: https://doi.org/10.1090/S0002-9939-2013-11619-9
- MathSciNet review: 3080164