A remark on differential operator algebras and an equivalence of categories
Compositio Mathematica (1994)
- Volume: 90, Issue: 3, page 305-313
- ISSN: 0010-437X
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topMcGovern, William M.. "A remark on differential operator algebras and an equivalence of categories." Compositio Mathematica 90.3 (1994): 305-313. <http://eudml.org/doc/90276>.
@article{McGovern1994,
author = {McGovern, William M.},
journal = {Compositio Mathematica},
keywords = {equivariant twisted differential operators; parabolic subgroups; generalized flag varieties; surjectivity; finite vectors},
language = {eng},
number = {3},
pages = {305-313},
publisher = {Kluwer Academic Publishers},
title = {A remark on differential operator algebras and an equivalence of categories},
url = {http://eudml.org/doc/90276},
volume = {90},
year = {1994},
}
TY - JOUR
AU - McGovern, William M.
TI - A remark on differential operator algebras and an equivalence of categories
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 90
IS - 3
SP - 305
EP - 313
LA - eng
KW - equivariant twisted differential operators; parabolic subgroups; generalized flag varieties; surjectivity; finite vectors
UR - http://eudml.org/doc/90276
ER -
References
top- 1 Beilinson, A. and Bernstein, J., Localisation de g-modules, C. R. Acad. Sci.292 (1981), 15-18. Zbl0476.14019MR610137
- 2 Bernstein, J. and Gelfand, S.I., Tensor products of finite and infinite dimensional representations of semisimple Lie algebras, Comp. Math.41 (1980), 245 - 285. Zbl0445.17006MR581584
- 3 Borho, W. and Brylinski, J.-L., Differential operators on homogeneous spaces I: Irreducibility of the associated variety for annihilators of induced modules, Inv. Math.69 (1982), 437-476. Zbl0504.22015MR679767
- 4 Borho, W. and Jantzen, J.C., Über primitive Ideale in der Einhüllenden einer halbeinfacher Lie-Algebra, Inv. Math.39 (1977), 1-53. Zbl0327.17002MR453826
- 5 Brylinski, J.-L., Differential operators on the flag varieties, in Proceedings, Conference on Young Tableaux and Schur Functors in Algebra and Geometry, Torùn, 1980, Astérisque87-88 (1981), 43-60. Zbl0537.14010MR646814
- 6 Conze, N. and Duflo, M., Sur les représentations induites des algèbres de Lie semisimples complexes, Comp. Math.34 (1976), 307 - 336. Zbl0389.22016
- 7 Gabber, O. and Joseph, A., On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula, Comp. Math.43 (1981), 107-131. Zbl0461.17004MR631430
- 8 Jantzen, J.C., Einhüllende Algebren Halbeinfacher Lie-Algebren, Ergebnisse der Mathematik und ihre Grenzgebiete, Band 3, Springer-Verlag, New York, 1983. Zbl0541.17001MR721170
- 9 Joseph, A., On the annihilators of the simple subquotients of the principal series, Ann. Ec. Norm. Sup.10 (1977), 419 - 440. Zbl0386.17004MR480653
- 10 Joseph, A., Dixmier's problem for Verma and principal series submodules, J. London Math. Soc.20 (1979) 193 - 204. Zbl0421.17005MR551445
- 11 Joseph, A., Kostant's problem, Goldie rank, and the Gelfand-Kirillov conjecture, Inv. Math.56 (1980), 191- 213. Zbl0446.17006MR561970
- 12 Vogan, D., 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. Zbl0585.17008MR832204
- 13 Vogan, D., 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. Zbl0854.17010MR1103596
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