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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
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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.

References:

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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

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Kottwitz, R.E., Rational conjugacy classes in reductive groups, Duke Math. J. 49 (1982), 785-806. MR 0683003 (84k:20020)

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Serre, J.P., Cohomologie Galoisienne, Lecture Notes in Mathematics, 5, Springer-Verlag, 1994. MR 1324577 (96b:12010)

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Serre, J.P., L'invariant de Witt de la forme $\text{Tr}(x^2)$, Comm. Math. Helv. 59 (1984), 651-676. MR 0780081 (86k:11067)

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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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