Standard

Finite factor representations of 2-step nilpotent groups and the orbit method. / Kokhas, K. P.

в: Journal of Mathematical Sciences , Том 131, № 2, 01.11.2005, стр. 5508-5519.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kokhas, KP 2005, 'Finite factor representations of 2-step nilpotent groups and the orbit method', Journal of Mathematical Sciences , Том. 131, № 2, стр. 5508-5519. https://doi.org/10.1007/s10958-005-0423-5

APA

Kokhas, K. P. (2005). Finite factor representations of 2-step nilpotent groups and the orbit method. Journal of Mathematical Sciences , 131(2), 5508-5519. https://doi.org/10.1007/s10958-005-0423-5

Vancouver

Kokhas KP. Finite factor representations of 2-step nilpotent groups and the orbit method. Journal of Mathematical Sciences . 2005 Нояб. 1;131(2):5508-5519. https://doi.org/10.1007/s10958-005-0423-5

Author

Kokhas, K. P. / Finite factor representations of 2-step nilpotent groups and the orbit method. в: Journal of Mathematical Sciences . 2005 ; Том 131, № 2. стр. 5508-5519.

BibTeX

@article{d5f5c5462603476788270391fb7eac35,
title = "Finite factor representations of 2-step nilpotent groups and the orbit method",
abstract = "In this paper, we describe factor representations of discrete 2-step nilpotent groups with 2-divisible center in the spirit of the orbit method. We show that some standard theorems of the orbit method are valid for these groups. In the case of countable 2-step nilpotent groups we explain how to construct a factor representation starting with an orbit of the {"}coadjoint representation.{"} We also prove that every factor representation (more precisely, every trace) can be obtained by this construction, and prove a theorem on the decomposition of a factor representation restricted to a subgroup. Bibliography: 7 titles.",
author = "Kokhas, {K. P.}",
year = "2005",
month = nov,
day = "1",
doi = "10.1007/s10958-005-0423-5",
language = "English",
volume = "131",
pages = "5508--5519",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Finite factor representations of 2-step nilpotent groups and the orbit method

AU - Kokhas, K. P.

PY - 2005/11/1

Y1 - 2005/11/1

N2 - In this paper, we describe factor representations of discrete 2-step nilpotent groups with 2-divisible center in the spirit of the orbit method. We show that some standard theorems of the orbit method are valid for these groups. In the case of countable 2-step nilpotent groups we explain how to construct a factor representation starting with an orbit of the "coadjoint representation." We also prove that every factor representation (more precisely, every trace) can be obtained by this construction, and prove a theorem on the decomposition of a factor representation restricted to a subgroup. Bibliography: 7 titles.

AB - In this paper, we describe factor representations of discrete 2-step nilpotent groups with 2-divisible center in the spirit of the orbit method. We show that some standard theorems of the orbit method are valid for these groups. In the case of countable 2-step nilpotent groups we explain how to construct a factor representation starting with an orbit of the "coadjoint representation." We also prove that every factor representation (more precisely, every trace) can be obtained by this construction, and prove a theorem on the decomposition of a factor representation restricted to a subgroup. Bibliography: 7 titles.

UR - http://www.scopus.com/inward/record.url?scp=26644457228&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0423-5

DO - 10.1007/s10958-005-0423-5

M3 - Article

AN - SCOPUS:26644457228

VL - 131

SP - 5508

EP - 5519

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 52478067