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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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Localization for derived categories of $(\mathfrak {g},K)$-modules
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by Joseph Bernstein and Valery Lunts
J. Amer. Math. Soc. 8 (1995), 819-856
  • M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR 0242802
  • A. Borel, Algebraic $D$-modules, Perspectives in Math., vol. 2, Academic Press, New York and London, 1986.
  • A. Beĭlinson and J. Bernstein, A proof of Jantzen conjectures, I. M. Gel′fand Seminar, Adv. Soviet Math., vol. 16, Amer. Math. Soc., Providence, RI, 1993, pp. 1–50. MR 1237825
  • A. A. Beĭlinson, On the derived category of perverse sheaves, $K$-theory, arithmetic and geometry (Moscow, 1984–1986) Lecture Notes in Math., vol. 1289, Springer, Berlin, 1987, pp. 27–41. MR 923133, DOI 10.1007/BFb0078365
  • J. N. Bernstein and S. I. Gel′fand, Tensor products of finite- and infinite-dimensional representations of semisimple Lie algebras, Compositio Math. 41 (1980), no. 2, 245–285. MR 581584
  • Joseph Bernstein and Valery Lunts, Equivariant sheaves and functors, Lecture Notes in Mathematics, vol. 1578, Springer-Verlag, Berlin, 1994. MR 1299527, DOI 10.1007/BFb0073549
  • —, A simple proof of Kostant’s theorem that $U(\mathfrak {g})$ is free over its center, preprint.
  • Michel Duflo and Michèle Vergne, Sur le foncteur de Zuckerman, C. R. Acad. Sci. Paris Sér. I Math. 304 (1987), no. 16, 467–469 (French, with English summary). MR 894570
  • L. Illusie, Complex cotangent et deformation, Lecture Notes in Math., vols. 239, 283, Springer-Verlag, Berlin and New York, 1971, 1972.
  • N. Spaltenstein, Resolutions of unbounded complexes, Compositio Math. 65 (1988), no. 2, 121–154. MR 932640
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 8 (1995), 819-856
  • MSC: Primary 17B10; Secondary 16S32, 17B35
  • DOI:
  • MathSciNet review: 1317229