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On the shape of
fundamental domains in GL(n,R)∕O(n)
Douglas Martin Grenier |
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Vol. 160 (1993), No. 1, 53–66
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Abstract |
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We investigate parameters for the symmetric space H = G∕K, G = GL(n,R), K = O(n), in the sense of positive definite quadratic forms. This leads to a description for the fundamental domain H∕Γ where Γ is an arithmetic subgroup of G. We also see interesting relations with the Siegel sets. This enables us to explicitly describe Satake compactifcations of H∕Γ. We will also consider the behavior at the “bottom” of the fundamental domains. |
Mathematical Subject Classification 2000
Primary: 22E40
Secondary: 11E10, 11F55
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Milestones
Received: 20 May 1991
Revised: 21 August 1991
Published: 1 September 1993
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Authors |
| Douglas Martin Grenier | |
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