@article{CM_1994__90_3_305_0, author = {McGovern, William M.}, title = {A remark on differential operator algebras and an equivalence of categories}, journal = {Compositio Mathematica}, pages = {305--313}, publisher = {Kluwer Academic Publishers}, volume = {90}, number = {3}, year = {1994}, mrnumber = {1272103}, zbl = {0842.17009}, language = {en}, url = {http://www.numdam.org/item/CM_1994__90_3_305_0/} }
TY - JOUR AU - McGovern, William M. TI - A remark on differential operator algebras and an equivalence of categories JO - Compositio Mathematica PY - 1994 SP - 305 EP - 313 VL - 90 IS - 3 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1994__90_3_305_0/ LA - en ID - CM_1994__90_3_305_0 ER -
McGovern, William M. A remark on differential operator algebras and an equivalence of categories. Compositio Mathematica, Volume 90 (1994) no. 3, pp. 305-313. http://www.numdam.org/item/CM_1994__90_3_305_0/
1 Localisation de g-modules, C. R. Acad. Sci. 292 (1981), 15-18. | MR | Zbl
and ,2 Tensor products of finite and infinite dimensional representations of semisimple Lie algebras, Comp. Math. 41 (1980), 245 - 285. | Numdam | MR | Zbl
and ,3 Differential operators on homogeneous spaces I: Irreducibility of the associated variety for annihilators of induced modules, Inv. Math. 69 (1982), 437-476. | MR | Zbl
and ,4 Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-Algebra, Inv. Math. 39 (1977), 1-53. | MR | Zbl
and ,5 Differential operators on the flag varieties, in Proceedings, Conference on Young Tableaux and Schur Functors in Algebra and Geometry, Torùn, 1980, Astérisque 87-88 (1981), 43-60. | Numdam | MR | Zbl
,6 Sur les représentations induites des algèbres de Lie semisimples complexes, Comp. Math. 34 (1976), 307 - 336. | Numdam | Zbl
and ,7 On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula, Comp. Math. 43 (1981), 107-131. | Numdam | MR | Zbl
and ,8 Einhüllende Algebren Halbeinfacher Lie-Algebren, Ergebnisse der Mathematik und ihre Grenzgebiete, Band 3, Springer-Verlag, New York, 1983. | MR | Zbl
,9 On the annihilators of the simple subquotients of the principal series, Ann. Ec. Norm. Sup. 10 (1977), 419 - 440. | Numdam | MR | Zbl
,10 Dixmier's problem for Verma and principal series submodules, J. London Math. Soc. 20 (1979) 193 - 204. | MR | Zbl
,11 Kostant's problem, Goldie rank, and the Gelfand-Kirillov conjecture, Inv. Math. 56 (1980), 191- 213. | MR | Zbl
,12 The orbit method and primitive ideals for semisimple Lie algebras, In: Lie Algebras and Related Topics, Canad. Math. Soc. Conf. Proc., vol. 5, (D. Britten et al., eds.), American Mathematical Society for CMS, Providence, RI, 1986, 281- 316. | MR | Zbl
,13 Dixmier algebras, sheets, and representations theory, In: Actes du colloque en l'honneur de Jacques Dixmier, Paris, 1989, Progress in Math. # 92, Birkhäüser, Boston, 1990, 333-395. | MR | Zbl
,