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Strongly typical representations of the basic classical Lie superalgebras

Author(s): Maria Gorelik
Journal: J. Amer. Math. Soc. 15 (2002), 167-184.
MSC (2000): Primary 17B10, 17B20
Posted: September 24, 2001
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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: 10.1090/S0894-0347-01-00381-2
PII: S 0894-0347(01)00381-2
Keywords: Basic classical Lie superalgebra, Verma module
Received by editor(s): December 6, 2000
Posted: 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
Copyright of article: Copyright 2001, American Mathematical Society

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