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Invariant measures on double coset spaces

Published online by Cambridge University Press:  09 April 2009

Teng-Sun Liu
Teng-Sun Liu
Affiliation:
University of Pennsylvania and University of Massachusetts
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Let G be a locally compact group with left invariant Haar measure m. Le H be a closed subgroup of G and K a compact group of G. Let R be the equivalence relation in G defined by (a, b)∈R if and if a = kbh for some k in K and h in H. We call E =G/R the double coset space of G modulo K and H. Donote by a the canonical mapping of G onto E. It can be shown that E is a locally compact space and α is continous and open Let N be the normalizer of K in G, i. e. .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 4 , November 1965 , pp. 495 - 505
Copyright
Copyright © Australian Mathematical Society 1965

References

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