On existence of invariant measures

Vikram T. Aithal () and Ravi S. Kulkarni ()
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Vikram T. Aithal: University of Mumbai-Kalina Campus
Ravi S. Kulkarni: Indian Institute of Technology Bombay

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 4, 343-358

Abstract: Abstract Let G be a Lie group, H ≤ G a closed subgroup and M ≈ G/H. In [14] André Weil gave a necessary and sufficient condition for the existence of invariant measures on homogeneous spaces of arbitrary locally compact groups. For Lie groups using the structure theory we give a neater necessary and sufficient condition for the existence of a G-invariant measure on M, cf. Theorems (2.1) and (3.2) in the introduction.

Keywords: Invariant measures; homogeneous spaces (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0021-4

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