On the classification of primitive ideals for complex classical Lie algebras, I

 Access to full text

 Full (PDF)

1. 1 Barbasch, D. and Vogan, D., Primitive ideals and orbital integrals in complex classical groups, Math. Ann.259 (1982) pp. 153-199. Zbl0489.22010MR656661
2. 2 Duflo, M., Sur la classification des idéaux primitifs dans l'algebre enveloppante d'une algebre de Lie semisimple, Ann. of Math.105 (1977) pp. 107-120. Zbl0346.17011MR430005
3. 3 Garfinkle, D., Annihilators of irreducible Harish-Chandra modules of U(p, q) and GL(n, R), in preparation. Zbl0786.22023
4. 4 Jantzen, J., Moduln mit einem höchsten Gewicht, Lecture Notes in Mathematics vol. 750, Springer, Berlin, 1979. Zbl0426.17001MR552943
5. 5 Joseph, A., A characteristic variety for the primitive spectrum of a semisimple Lie algebra, preprint. Short version in: Non-Commutative Harmonic Analysis, ed. by Carmona, J., and Vergne, M., Lecture Notes in Mathematics vol. 587, pp. 102-118, Springer, Berlin1977. Zbl0374.17004MR450350
6. 6 Joseph, A., Towards the Jantzen Conjecture, II, Comp. Math.40(1980), pp. 69-78. Zbl0424.17005MR594481
7. 7 Kazhdan, D., and Lusztig, G., Representations of Coxeter groups and Hecke algebras, Inv. Math.53 (1979), pp. 165-184. Zbl0499.20035MR560412
8. 8 Lusztig, G., A class of irreducible representations of a Weyl group, Proc. Kon. Ned. Akad. van Wetenschappen, ser. A., 82 (1979), pp. 323-335. Zbl0435.20021MR546372
9. 9 Shi, J.-Y., The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups, Lecture Notes in Mathematics, vol. 1179, Springer, Berlin, 1986. Zbl0582.20030MR835214
10. 10 Vogan, D., A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra, Math. Ann.242 (1979), pp. 209-224. Zbl0387.17007
11. 11 Vogan, D., Irreducible characters of semi-simple Lie groups IV: character multiplicity duality, Duke Math. J.49 (1982), pp. 943-1073. Zbl0536.22022MR683010

1. Richard M. Green, Jozsef Losonczy, Fully commutative Kazhdan-Lusztig cells
2. William M. McGovern, Standard domino tableaux and asymptotic Hecke algebras
3. Devra Garfinkle, On the classification of primitive ideals for complex classical Lie algebras, III
4. Devra Garfinkle, On the classification of primitive ideals for complex classical Lie algebras, II
5. William M. McGovern, Left cells and domino tableaux in classical Weyl groups