@article{BSMF_1994__122_3_371_0, author = {Chemla, Sophie}, title = {Poincar\'e duality for $k$-$A$ Lie superalgebras}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, volume = {122}, year = {1994}, pages = {371-397}, doi = {10.24033/bsmf.2238}, mrnumber = {95i:16024}, zbl = {0840.16032}, language = {en}, url = {http://dml.mathdoc.fr/item/BSMF_1994__122_3_371_0} }
Chemla, Sophie. Poincaré duality for $k$-$A$ Lie superalgebras. Bulletin de la Société Mathématique de France, Tome 122 (1994) pp. 371-397. doi : 10.24033/bsmf.2238. http://gdmltest.u-ga.fr/item/BSMF_1994__122_3_371_0/
[Bo] Algebraic D-modules. — Academic Press, 1987. | MR 89g:32014 | Zbl 0642.32001
. —[Bou] Algèbre commutative, chap. 2. — Hermann, 1961. | Zbl 0108.04002
. —[B-C] A comparison theorem for the structures of induced representations, J. Algebra, t. 94, 1985, p. 511-545. | MR 87b:22026a | Zbl 0606.17007
and . —[B-L] Cohomology of bimodules over enveloping algebras, Math. Z., t. 189, 1985, p. 393-413. | MR 86m:17011 | Zbl 0566.17005
and . —[Br] A differential complex for Poisson manifolds, J. Differential Geom., t. 28, 1988, p. 93-114. | MR 89m:58006 | Zbl 0634.58029
. —[C] Propriétés de dualité dans les représentations coinduites de superalgèbres de Lie, Thèse, Université Paris 7, 1990.
. —[C-S] A duality theorem for extensions of induced highest weight modules, Pacific J. Math., t. 146, 2, 1990, p. 227-237. | MR 91m:22029 | Zbl 0733.17005
and . —[D1] Sur les idéaux induits dans les algèbres enveloppantes, Invent. Math., t. 67, 1982, p. 385-393. | MR 83m:17005 | Zbl 0501.17006
. —[D2] Open problems in representation theory of Lie groups, in Proceedings of the Eighteenth International Symposium, division of mathematics, the Taniguchi Foundation.
. —[F] Global dimension of rings of differential operators, Trans. Moscow Math. Soc., t. 1, 1982, p. 123-147. | Zbl 0484.13020
. —[Fu] Cohomology of infinite dimensional Lie algebras, Contemporary Soviet Mathematics, 1986. | MR 88b:17001 | Zbl 0667.17005
. —[G] A duality theorem for homomorphisms between generalized Verma modules, Preprint Kyoto University.
. —[H] Algebraic geometry. — Graduate Text in Mathematics, 1977. | MR 57 #3116 | Zbl 0367.14001
. —[Hu1] Poisson cohomology and quantization, J. Reine Angew. Math., t. 408, 1990, p. 57-113. | MR 92e:17027 | Zbl 0699.53037
. —[Hu2] Some remarks about Poisson homology, Preprint Universität Heidelberg, 1990.
. —[Hus] Fiber bundles. — Graduate Texts in Mathematics, 1966.
. —[K] The Ext-dual of a Verma module is a Verma module, J. Pure Appl. Algebra, t. 75, 1991, p. 47-49. | MR 93b:17023 | Zbl 0758.17004
. —[Kn] Lie groups, Lie algebras and cohomology. — Princeton University Press, 1988. | MR 89j:22034 | Zbl 0648.22010
. —[Ko] Graded manifolds, graded Lie theory and prequantization, Lecture Notes in Math., t. 570, 1975, p. 177-306. | MR 58 #28326 | Zbl 0358.53024
. —[Kos] Crochet de Schouten-Nijenhuis et cohomologie, in É. Cartan et les mathématiciens d'aujourd'hui, Lyon 25-29 juin 1984, Astérisque hors-série, 1985, p. 251-271. | Zbl 0615.58029
. —[L1] Introduction to the theory of supermanifolds, Uspeki Mat. Nauk, t. 35, 1, 1980, p. 3-57. | MR 81j:58003 | Zbl 0439.58007
. —[L2] Spectra of graded commutative ring, Uspeki Mat. Nauk, t. 29, 3, 1974, p. 209-210. | MR 53 #2966 | Zbl 0326.14001
. —[M] Gauge field theory and complex geometry, A Series of comprehensive studies in mathematics, Springer-Verlag, 1988. | MR 89d:32001 | Zbl 0641.53001
. —[P] D-modules on supermanifolds, Invent. Math., t. 71, 1983, p. 501-512. | MR 85b:32015 | Zbl 0528.32012
. —[R] Differential form on general commutative algebras, Trans. Amer. Math. Soc., t. 108, 1963, p. 195-222. | MR 27 #4850 | Zbl 0113.26204
. —[S] Vector bundles and projective modules, Trans. Amer. Math. Soc., t. 115, 2, 1962, p. 261-277. | MR 26 #785 | Zbl 0109.41601
. —[We] Differential analysis on complex manifolds. — Prentice-Hall, Inc., 1973. | MR 58 #24309a | Zbl 0262.32005
. —