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On the centralizer of a regular, semi-simple, stable conjugacy class
Author(s):
Benedict
H.
Gross
Journal:
Represent. Theory
9
(2005),
287-296.
MSC (2000):
Primary 20G15
Posted:
April 8, 2005
MathSciNet review:
2133761
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Abstract:
We describe the isomorphism class of the torus centralizing a regular, semi-simple, stable conjugacy class in a simply-connected, semi-simple group.
References:
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- Gross, B.H. and McMullen, C.T., Automorphisms of even unimodular lattices and unramified Salem numbers, J. Algebra 257 (2002), 265-290. MR 1947324 (2003j:11071)
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- Gross, B.H. and Pollack, D., On the Euler characteristic of the discrete spectrum, J. Number Theory 110 (2004), 136-163. MR 2114678
- [K]
- Kottwitz, R.E., Rational conjugacy classes in reductive groups, Duke Math. J. 49 (1982), 785-806. MR 0683003 (84k:20020)
- [Se]
- Serre, J.P., Cohomologie Galoisienne, Lecture Notes in Mathematics, 5, Springer-Verlag, 1994. MR 1324577 (96b:12010)
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 , Comm. Math. Helv. 59 (1984), 651-676. MR 0780081 (86k:11067) - [S-S]
- Springer, T.A. and Steinberg, R., Conjugacy classes, Lecture Notes in Mathematics, 131, Springer-Verlag, 1970, 167-266.MR 0268192 (42 #3091)
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- Steinberg, R., Regular elements of semi-simple algebraic groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 49-80. MR 0180554 (31 #4788)
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Additional Information:
Benedict
H.
Gross
Affiliation:
Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Email:
gross@math.harvard.edu
DOI:
10.1090/S1088-4165-05-00283-9
PII:
S 1088-4165(05)00283-9
Received by editor(s):
August 31, 2004
Posted:
April 8, 2005
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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