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

Published electronically:
September 24, 2001

MathSciNet review:
1862800

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Abstract | References | Similar Articles | Additional Information

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