O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices

被引：0

作者：

Nikitin P.P. ^{[1
]}

机构：

[1] Aix-Marseille University, Marseille

来源：

Journal of Mathematical Sciences | 2016年 / 216卷 / 1期

关键词：

Young Diagram; Ergodic Theorem; Orthogonal Group; Orbit Measure; Inductive Limit;

D O I：

10.1007/s10958-016-2892-0

中图分类号：

学科分类号：

摘要：

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.” © 2016, Springer Science+Business Media New York.

引用

页码：136 / 145

页数：9