Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices. / Nikitin, P. P.
в: Journal of Mathematical Sciences (United States), Том 216, № 1, 01.07.2016, стр. 136-145.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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