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O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices. / Nikitin, P. P.

In: Journal of Mathematical Sciences (United States), Vol. 216, No. 1, 01.07.2016, p. 136-145.

Research output: Contribution to journal › Article › peer-review

Harvard

Nikitin, PP 2016, 'O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices', Journal of Mathematical Sciences (United States), vol. 216, no. 1, pp. 136-145. https://doi.org/10.1007/s10958-016-2892-0

APA

Nikitin, P. P. (2016). O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices. Journal of Mathematical Sciences (United States), 216(1), 136-145. https://doi.org/10.1007/s10958-016-2892-0

Vancouver

Nikitin PP. O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices. Journal of Mathematical Sciences (United States). 2016 Jul 1;216(1):136-145. https://doi.org/10.1007/s10958-016-2892-0

Author

Nikitin, P. P. / O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices. In: Journal of Mathematical Sciences (United States). 2016 ; Vol. 216, No. 1. pp. 136-145.

BibTeX

@article{05495e34b46f416293ae9ecc7bd9cf99,
title = "O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices",
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.”",
keywords = "Young diagram, Ergodic theorem, Orthogonal Group, Orbit Measure, Inductive Limit",
author = "Nikitin, {P. P.}",
note = "Nikitin, P.P. O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices. J Math Sci 216, 136–145 (2016). https://doi.org/10.1007/s10958-016-2892-0",
year = "2016",
month = jul,
day = "1",
doi = "10.1007/s10958-016-2892-0",
language = "English",
volume = "216",
pages = "136--145",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices

AU - Nikitin, P. P.

N1 - Nikitin, P.P. O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices. J Math Sci 216, 136–145 (2016). https://doi.org/10.1007/s10958-016-2892-0

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.”

AB - 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.”

KW - Young diagram

KW - Ergodic theorem

KW - Orthogonal Group

KW - Orbit Measure

KW - Inductive Limit

UR - http://www.scopus.com/inward/record.url?scp=84969895322&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-2892-0

DO - 10.1007/s10958-016-2892-0

M3 - Article

AN - SCOPUS:84969895322

VL - 216

SP - 136

EP - 145

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 49959035