On the characteristic polynomials of orbital varieties

 Access to full text

 Full (PDF)

1. [1] H. H. ANDERSEN, Schubert Varieties and Demazure's Character formula (Invent. Math., Vol. 79, 1985, pp. 611-618). Zbl0591.14036MR86h:14042
2. [2] M. F. ATIYAH and I. G. MACDONALD, Introduction to Commutative Algebra, Addison-Wesley, London, 1969. Zbl0175.03601MR39 #4129
3. [3] D. BARBASCH and D. VOGAN, Primitive Ideals and Orbital Integrals in Complex Classical Groups (Math. Ann., Vol. 259, 1982, pp. 153-199). Zbl0489.22010MR83m:22026
4. [4] N. BERLINE and M. VERGNE, Fourier Transforms of Orbits of the Coadjoint Representation. In Representations Theory of Reductive Groups, Ed. P. C. Trombí, Birkhauser, Boston, 1983. Zbl0527.22010MR85g:22026
5. [5] A. BOREL, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes des groupes de Lie compacts (Annals of Math., Vol. 57, 1953, pp. 115-207). Zbl0052.40001MR14,490e
6. [6] A. BOREL and J.-P. SERRE, Le théorème de Riemann-Roch (Bull. Soc. Math. France, T. 86, 1958, pp. 97-136). Zbl0091.33004MR22 #6817
7. [7] W. BORHO, J.-L. BRYLINSKIR. MACPHERSON, Springer's Weyl Group Representations through Characteristic Classes of Cone Bundles (Math. Ann., Vol. 278, 1987, pp. 273-289). Zbl0624.14015MR89g:17010
8. [8] W. BORHO, J.-L. BRYLINSKI and R. MACPHERSON, Equivariant K-Theory Approach to Nilpotent Orbits, preprint I.H.E.S., 1986. 
9. [9] M. DEMAZURE, A Very Simple Proof of Bott's Theorem (Invent. Math., Vol. 33, 1976, pp. 271-272). Zbl0383.14017MR54 #2670
10. [10] W. FULTON, Intersection Theory (Ergebnisse der Mathematik, Springer-Verlag, Berlin, 1984). Zbl0541.14005MR85k:14004
11. [11] V. GINSBURG, G Modules, Springer's Representations and Bivariant Chern Classes (Adv. in Math., Vol. 61, 1986, pp. 1-48). Zbl0601.22008MR87k:17014
12. [12] P. GRIFFITHS and J. HARRIS, Principles of Algebraic Geometry, John Wiley, New York, 1978. Zbl0408.14001MR80b:14001
13. [13] R. HARTSHORNE, Algebraic Geometry, in Graduate Texts in Mathematics, Springer-Verlag, Berlin, 1977. Zbl0367.14001MR57 #3116
14. [14] R. HOTTA, On Joseph's Construction of Weyl Group Representations (Tohoku Math. J., Vol. 36, 1984, pp. 49-74). Zbl0545.20029MR86h:20061
15. [15] R. HOTTA and T. A. SPRINGER, A Specialization Theorem for Certain Weyl Group Representations and an Application to the Green Polynomials of Unitary Groups (Invent. Math., Vol. 41, 1977, pp. 113-127). Zbl0389.20037MR58 #5945
16. [16] A. JOSEPH, Dixmier's Problem for Verma and Principal Series Submodules (J. Lond. Math. Soc., Vol. 20, 1979, pp. 193-204). Zbl0421.17005MR81c:17016
17. [17] A. JOSEPH, Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture (Invent. Math., Vol. 56, 1980, pp. 191-213). Zbl0446.17006MR82f:17008
18. [18] A. JOSEPH, Goldie Rank in the Enveloping Algebra of a Semisimple Lie Algebra II (J. Algebra, Vol. 65, 1980, pp. 284-306). Zbl0441.17004MR82f:17009
19. [19] A. JOSEPH, On the Variety of a Highest Weight Module (J. Algebra, Vol. 88, 1984, pp. 238-279). Zbl0539.17006MR85j:17014
20. [20] A. JOSEPH, A Surjectivity Theorem for Rigid Highest Weight Modules (Invent. Math., Vol. 92, 1988, pp. 567-596). Zbl0657.17004MR89d:17013
21. [21] M. KASHIWARA and T. TANISAKI, The Characteristic Cycles of Holonomic Systems on a Flag Manifold (Invent. Math., Vol. 77, 1984, pp. 185-198). Zbl0611.22008MR86m:17015
22. [22] D. KAZHDAN and G. LUSZTIG, A Topological Approach to Springer's Representations (Adv. in Math., Vol. 38, 1980, pp. 222-228). Zbl0458.20035MR82f:20076
23. [23] D. R. KING, The Character Polynomial of the Annihilator of an Irreducible Harish-Chandra Module (Amer. J. Math., Vol. 103, 1980, pp. 1195-1240). Zbl0486.17003MR83d:22010a
24. [24] D. MUMFORD, Algebraic Geometry I. Complex Projective Varieties, Springer-Verlag, New York, 1986. 
25. [25] W. ROSSMANN, Invariant Eigendistributions on a Complex Lie Algebra and Homology Classes on the Conormal Variety, I, II, preprint, Ottawa, 1986. 
26. [26] J.-P. SERRE, Algèbre locale multiplicités (Lecture Notes in Mathematics, No. 11, Springer-Verlag, New York, 1975). Zbl0296.13018MR34 #1352
27. [27] I. R. SHAFAREVICH, Basic Algebraic Geometry, Springer-Verlag, New York, 1977. Zbl0362.14001MR56 #5538
28. [28] N. SPALTENSTEIN, On the Fixed Point Set of a Unipotent Element on the Variety of Borel Subgroups Topology, Vol. 16, 1977, pp. 203-204. Zbl0445.20021MR56 #5735
29. [29] R. STEINBERG, On the Desingularization of the Unipotent Variety (Invent. Math., Vol. 36, 1976, pp. 209-224). Zbl0352.20035MR55 #3101
30. [30] T. TANISAKI, Associated Varieties of Highest Weight Modules, circulated notes, 1985. 
31. [31] P. R. THIE, The Lelong Number of a Point of a Complex Analytic Set (Math. Ann., Vol. 172, 1967, pp. 269-312). Zbl0158.32804MR35 #5661
32. [32] D. A. VOGAN, The Orbit Method and Primitive Ideals for Semisimple Lie Algebras (Canad. Math. Soc. Conference Proceedings, Vol. 5, 1986, pp. 281-316). Zbl0585.17008MR87k:17015
33. [33] A. ARABIA, Cycles de Schubert et cohomologie équivalente de K/T (Invent. Math., Vol. 85, 1986, pp. 39-52). Zbl0624.22005MR87g:32036
34. [34] I. N. BERNSTEIN, I. M. GELFAND and S. I. GELFAND, Schubert Cells and Cohomology of the Spaces G/P (Usp. Mat. Nauk., Vol. 28, 1973, pp. 3-26). Zbl0289.57024MR55 #2941
35. [35] R. BOTT, Homogeneous Vector Bundles (Ann. of Math., Vol. 66, 1957, pp. 203-248). Zbl0094.35701MR19,681d

1. Jen-Tseh Chang, Asymptotics and characteristic cycles for representations of complex groups
2. Michèle Vergne, Polynômes de Joseph et représentation de Springer
3. Anthony Joseph, Orbital varietes of the minimal orbit