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Quantized enveloping algebras for Borcherds superalgebras
Author(s):
Georgia
Benkart;
Seok-Jin
Kang;
Duncan
Melville
Journal:
Trans. Amer. Math. Soc.
350
(1998),
3297-3319.
MSC (1991):
Primary 17B37, 17B65, 17B67, 81R50
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Abstract:
We construct quantum deformations of enveloping algebras of Borcherds superalgebras, their Verma modules, and their irreducible highest weight modules.
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Additional Information:
Georgia
Benkart
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706-1388
Email:
benkart@math.wisc.edu
Seok-Jin
Kang
Affiliation:
Department of Mathematics, College of Natural Sciences, Seoul National University, Seoul 151-742, Korea
Email:
sjkang@math.snu.ac.kr
Duncan
Melville
Affiliation:
Department of Mathematics, St. Lawrence University, Canton, New York 13617
Email:
dmel@music.stlawu.edu
DOI:
10.1090/S0002-9947-98-02058-3
PII:
S 0002-9947(98)02058-3
Received by editor(s):
October 1, 1996
Additional Notes:
The first author was supported in part by NSF Grant #DMS-9300523
The second author was supported in part by the Nondirected Research Fund, Korea Research Foundation, 1996
The third author was supported in part by a Faculty Research Grant from St. Lawrence University
Copyright of article:
Copyright
1998,
American Mathematical Society
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