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Localization for derived categories of -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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Additional information
References:
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- [AM]
- M. F. Atiyah and I. G. MacDonald, Introduction to commutative algebra, Addison-Wesley, Reading, MA, 1969. MR 0242802 (39:4129)
- [B]
- A. Borel, Algebraic
-modules, Perspectives in Math., vol. 2, Academic Press, New York and London, 1986. - [BB]
- A. Beilinson and J. Bernstein, A proof of Jantzen conjectures, Adv. Soviet Math., vol. 16, Amer. Math. Soc., Providence, RI, 1993. MR 1237825 (95a:22022)
- [Be]
- 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)
- [BG]
- 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)
- [BL1]
- 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)
- [BL2]
- -, A simple proof of Kostant's theorem that
is free over its center, preprint. - [DV]
- 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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- L. Illusie, Complex cotangent et deformation, Lecture Notes in Math., vols. 239, 283, Springer-Verlag, Berlin and New York, 1971, 1972.
- [Sp]
- 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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