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Lefschetz numbers and unitary groups

Published online by Cambridge University Press:  17 April 2009

K.F. Lai
K.F. Lai
Affiliation:
Department of Pure Mathematics, University of Sydney, New South Wales 2006, Australia
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Abstract

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We give a formula for the Euler-Poincare characteristic of the fixed point set of the Cartan involution on the set of integral equivalence classes of integral unimodular hermitian forms, in terms of a product of special values of Riemann zeta functions and Dirichlet L-functions. This is done via reduction by Galois cohomology to a volume computation using the Tamagawa measure on the unitary groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 193 - 209
Copyright
Copyright © Australian Mathematical Society 1991

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