On the centralizer of a regular, semi-simple, stable conjugacy class
Author:
Benedict H. Gross
Journal:
Represent. Theory 9 (2005), 287-296
MSC (2000):
Primary 20G15
DOI:
https://doi.org/10.1090/S1088-4165-05-00283-9
Published electronically:
April 8, 2005
MathSciNet review:
2133761
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We describe the isomorphism class of the torus centralizing a regular, semi-simple, stable conjugacy class in a simply-connected, semi-simple group.
- Benedict H. Gross and Curtis T. McMullen, Automorphisms of even unimodular lattices and unramified Salem numbers, J. Algebra 257 (2002), no. 2, 265–290. MR 1947324, DOI https://doi.org/10.1016/S0021-8693%2802%2900552-5
- Benedict H. Gross and David Pollack, On the Euler characteristic of the discrete spectrum, J. Number Theory 110 (2005), no. 1, 136–163. MR 2114678, DOI https://doi.org/10.1016/j.jnt.2004.03.008
- Robert E. Kottwitz, Rational conjugacy classes in reductive groups, Duke Math. J. 49 (1982), no. 4, 785–806. MR 683003
- Jean-Pierre Serre, Cohomologie galoisienne, 5th ed., Lecture Notes in Mathematics, vol. 5, Springer-Verlag, Berlin, 1994 (French). MR 1324577
- Jean-Pierre Serre, L’invariant de Witt de la forme ${\rm Tr}(x^2)$, Comment. Math. Helv. 59 (1984), no. 4, 651–676 (French). MR 780081, DOI https://doi.org/10.1007/BF02566371
- T. A. Springer and R. Steinberg, Conjugacy classes, Seminar on Algebraic Groups and Related Finite Groups (The Institute for Advanced Study, Princeton, N.J., 1968/69) Lecture Notes in Mathematics, Vol. 131, Springer, Berlin, 1970, pp. 167–266. MR 0268192
- Robert Steinberg, Regular elements of semisimple algebraic groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 49–80. MR 180554
Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 20G15
Retrieve articles in all journals with MSC (2000): 20G15
Additional Information
Benedict H. Gross
Affiliation:
Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
MR Author ID:
77400
Email:
gross@math.harvard.edu
Received by editor(s):
August 31, 2004
Published electronically:
April 8, 2005
Article copyright:
© Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.