A generalization of a result of Kazhdan and Lusztig

Proceedings of the American Mathematical Society

Volumn 132, Issue 6, 2004, Pages 1861-1868

  Adler, Jeffrey D ^a   Debacker, Stephen ^b,c  

^a UNIVERSITY OF AKRON   (United States)

^b HARVARD UNIVERSITY   (United States)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Lie algebra; P adic; Stability

Indexed keywords

EID: 2442712529     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-07261-7     Document Type: Conference Paper

References (16)

1. J. D. Adler and S. DeBacker, Murnaghan-Kirillov theory for supercuspidal representations of tame general linear groups, submitted.
2. J. D. Adler and S. DeBacker, Some applications of Bruhat-Tits theory to harmonic analysis on the Lie algebra of a reductive p-adic group, Michigan Math. J. 50 (2002), no. 2, 263-286. MR 2003g:22016
3. P. Bala and R. W. Carter, Classes of unipotent elements in simple algebraic groups. II, Math. Proc. Cambridge Philos. Soc. 80 (1976), no. 1, 1-17. MR 54:5363b
4. A. Borel, Linear algebraic groups, 2nd ed., Graduate Texts in Mathematics, vol. 126, Springer-Verlag, New York, 1991. MR 92d:20001
5. F. Bruhat and J. Tits, Groupes réductifs sur un corps local I: Données radicielles valuées, Inst. Hautes Études Sci. Publ. Math. 41 (1972), 5-251. MR 48:6265
6. S. DeBacker, Parametrizing nilpotent orbits via Bruhat-Tits theory, Ann. Math. 156 (2002), 295-332. MR 2003i:20086
7. D. Kazhdan and G. Lusztig, Fixed point varieties on affine flag manifolds, Israel J. Math. 62 (1988), no. 2, 129-168. MR 89m:14025
8. B. Kostant, Lie group representations on polynomial rings, Amer. J. Math. 85 (1963), 327-404. MR 28:1252
9. R. E. Kottwitz, Transfer factors for Lie algebras, Represent. Theory 3 (1999), 127-138 (electronic). MR 2000g:22028
10. A. Moy and G. Prasad, Jacquet functors and unrefined minimal K-types, Comment. Math. Helvetici 71 (1996), 98-121. MR 97c:22021
11. J.-P. Serre, Galois cohomology, Springer-Verlag, Berlin, 1997, Translated from the French by Patrick Ion and revised by the author. MR 98g:12007
12. T. A. Springer, The unipotent variety of a semi-simple group, Algebraic Geometry (Internat. Colloq., Tata Inst. Fund. Res., Bombay, 1968), Oxford Univ. Press, London, 1969, pp. 373-391. MR 41:8429
13. T. A. Springer, Linear algebraic groups, 2nd edition, Birkhäuser, Boston, 1998. MR 99h:20075
14. R. Steinberg, Regular elements of semisimple algebraic groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 49-80. MR 31:4788
15. R. Steinberg, Torsion in reductive groups, Advances in Math. 15 (1975), 63-92. MR 50:7369
16. J.-K. Yu, Construction of tame supercuspidal representations, J. Amer. Math. Soc. 14 (2001), no. 3, 579-622. MR 2002f:22033