On existence of invariant measures |
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| Authors: | Vikram T. Aithal Ravi S. Kulkarni |
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| Affiliation: | 1.UM-DAE Centre for Excellence in Basic Sciencs,University of Mumbai-Kalina Campus,Santacruz (E),India;2.Department of Mathematics,Indian Institute of Technology Bombay,Powai,India |
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| 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. |
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