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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Localization for derived categories of $             (\mathfrak{g},K)$-modules

Author(s): Joseph Bernstein; Valery Lunts
Journal: J. Amer. Math. Soc. 8 (1995), 819-856.
MSC: Primary 17B10; Secondary 16S32, 17B35
MathSciNet review: 1317229
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A. Beilinson, On the derived category of perverse sheaves, Lecture Notes in Math., vol. 1289, Springer-Verlag, Berlin and New York, 1987. MR 923133 (89b:14027)

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J. Bernstein and S. Gelfand, Tensor products of finite and infinite dimensional representations of semisimple Lie algebras, Compositio Math. 41 (1980), 245-285. MR 581584 (82c:17003)

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J. Bernstein and V. Lunts, Equivariant sheaves and functors, Lecture Notes in Math., vol. 1578, Springer-Verlag, Berlin and New York, 1994. MR 1299527 (95k:55012)

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-, A simple proof of Kostant's theorem that $             U(\mathfrak{g})$ is free over its center, preprint.

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M. Duflo and M. Vergne, Sur le foncteur de Zuckerman, C.R. Acad. Sci. Paris Ser. I 304 (1987), 467-469. MR 894570 (89h:22025)

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N. Spaltenstein, Resolutions of unbounded complexes, Compositio Math. 65 (1988), 121-154. MR 932640 (89m:18013)

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Additional Information:

DOI: 10.1090/S0894-0347-1995-1317229-7
PII: S0894-0347-1995-1317229-7
Copyright of article: Copyright 1995, American Mathematical Society




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