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Strongly typical representations of the basic classical Lie superalgebras


Author: Maria Gorelik
Journal: J. Amer. Math. Soc. 15 (2002), 167-184
MSC (2000): Primary 17B10, 17B20
DOI: https://doi.org/10.1090/S0894-0347-01-00381-2
Published electronically: September 24, 2001
MathSciNet review: 1862800
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Abstract: We describe the category of representations with a strongly typical central character of a basic classical Lie superalgebra in terms of representations of its even part.


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Additional Information

Maria Gorelik
Affiliation: Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
Email: gorelik@wisdom.weizmann.ac.il

DOI: https://doi.org/10.1090/S0894-0347-01-00381-2
Keywords: Basic classical Lie superalgebra, Verma module
Received by editor(s): December 6, 2000
Published electronically: September 24, 2001
Additional Notes: The author was partially supported by TMR Grant No. FMRX-CT97-0100. Research at MSRI was supported in part by NSF grant DMS-9701755
Article copyright: © Copyright 2001 American Mathematical Society

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