Email this article O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices
- Authors: Nikitin P.P.1
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Affiliations:
- Aix-Marseille University
- Issue: Vol 216, No 1 (2016)
- Pages: 136-145
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237768
- DOI: https://doi.org/10.1007/s10958-016-2892-0
- ID: 237768
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Abstract
The ergodic measures for the actions of the infinite orthogonal group O(∞) and the infinite symplectic group Sp(∞) by conjugations on the spaces of infinite real antisymmetric and infinite quaternionic antihermitian matrices are classified, with the use of the Vershik–Olshanski “ergodic method.”
About the authors
P. P. Nikitin
Aix-Marseille University
Author for correspondence.
Email: pnikitin0103@yahoo.co.uk
France, Marseille
