On operator systems generated by reducible projective unitary representations ofcompact groups

Standard

On operator systems generated by reducible projective unitary representations ofcompact groups. / Amosov, Grigori.

в: Turkish Journal of Mathematics, Том 43, № 5, 2019, стр. 2366-2370.

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

BibTeX

@article{610a544d7da84b56a717b55363afb699,

title = "On operator systems generated by reducible projective unitary representations ofcompact groups",

abstract = "We study reducible projective unitary representations (Ug)g∈G of a compact group G in separable Hilbert spaces H. It is shown that there exist the projections Q and P for which V = span(UgQU*g, g ∈ G) is the operator system and PVP = (CP). As an example, a bipartite Hilbert space H = H ⊗ H is considered. In this case, the action of (Ug)g∈G has the property of transforming separable vectors to entangled.",

keywords = "Covariant resolutions of identity, Operator systems, Quantum anticliques, Reducible unitary representations of compact groups",

author = "Grigori Amosov",

year = "2019",

doi = "10.3906/mat-1906-59",

language = "English",

volume = "43",

pages = "2366--2370",

journal = "Turkish Journal of Mathematics",

issn = "1300-0098",

publisher = "TUBITAK",

number = "5",

}

RIS

TY - JOUR

T1 - On operator systems generated by reducible projective unitary representations ofcompact groups

AU - Amosov, Grigori

PY - 2019

Y1 - 2019

N2 - We study reducible projective unitary representations (Ug)g∈G of a compact group G in separable Hilbert spaces H. It is shown that there exist the projections Q and P for which V = span(UgQU*g, g ∈ G) is the operator system and PVP = (CP). As an example, a bipartite Hilbert space H = H ⊗ H is considered. In this case, the action of (Ug)g∈G has the property of transforming separable vectors to entangled.

AB - We study reducible projective unitary representations (Ug)g∈G of a compact group G in separable Hilbert spaces H. It is shown that there exist the projections Q and P for which V = span(UgQU*g, g ∈ G) is the operator system and PVP = (CP). As an example, a bipartite Hilbert space H = H ⊗ H is considered. In this case, the action of (Ug)g∈G has the property of transforming separable vectors to entangled.

KW - Covariant resolutions of identity

KW - Operator systems

KW - Quantum anticliques

KW - Reducible unitary representations of compact groups

UR - http://www.scopus.com/inward/record.url?scp=85073164071&partnerID=8YFLogxK

U2 - 10.3906/mat-1906-59

DO - 10.3906/mat-1906-59

M3 - Article

AN - SCOPUS:85073164071

VL - 43

SP - 2366

EP - 2370

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

SN - 1300-0098

IS - 5

ER -

ID: 75034330