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A dimension formula relating to algebraic groups

Published online by Cambridge University Press:  17 April 2009

Su-shing Chen
Su-shing Chen
Affiliation:
University of Florida, Gainesville, Florida, USA.
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Abstract

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An upper bound is given of the dimension of certain spaces of cusp harmonic forms of arithmetic subgroups Γ of semisimple algebraic groups G in terms of the multiplicities of corresponding irreducible unitary representations of the group GR of real rational points of G in the space 0L2(GR/Γ) of cusp forms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 241 - 245
Copyright
Copyright © Australian Mathematical Society 1971

References

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