On sl(2)-equivariant quantizations

S. Bouarroudj; M. Iadh Ayari

doi:10.2991/jnmp.2007.14.2.4

On sl(2)-equivariant quantizations

S. Bouarroudj, M. Iadh Ayari

Mathematics

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

Abstract

By computing certain cohomology of Vect(M) of smooth vector fields we prove that on 1-dimensional manifolds M there is no quantization map intertwining the action of non-projective embeddings of the Lie algebra sl(2) into the Lie algebra Vect(M). Contrariwise, for projective embeddings sl[(2)-equivariant quantization exists.

Original language	English (US)
Pages (from-to)	179-187
Number of pages	9
Journal	Journal of Nonlinear Mathematical Physics
Volume	14
Issue number	2
DOIs	https://doi.org/10.2991/jnmp.2007.14.2.4
State	Published - Apr 2007

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.2991/jnmp.2007.14.2.4

Cite this

@article{8981424210104c79b2eb9db1043ea537,

title = "On sl(2)-equivariant quantizations",

abstract = "By computing certain cohomology of Vect(M) of smooth vector fields we prove that on 1-dimensional manifolds M there is no quantization map intertwining the action of non-projective embeddings of the Lie algebra sl(2) into the Lie algebra Vect(M). Contrariwise, for projective embeddings sl[(2)-equivariant quantization exists.",

author = "S. Bouarroudj and Ayari, {M. Iadh}",

year = "2007",

month = apr,

doi = "10.2991/jnmp.2007.14.2.4",

language = "English (US)",

volume = "14",

pages = "179--187",

journal = "Journal of Nonlinear Mathematical Physics",

issn = "1402-9251",

publisher = "Springer Nature",

number = "2",

}

TY - JOUR

T1 - On sl(2)-equivariant quantizations

AU - Bouarroudj, S.

AU - Ayari, M. Iadh

PY - 2007/4

Y1 - 2007/4

N2 - By computing certain cohomology of Vect(M) of smooth vector fields we prove that on 1-dimensional manifolds M there is no quantization map intertwining the action of non-projective embeddings of the Lie algebra sl(2) into the Lie algebra Vect(M). Contrariwise, for projective embeddings sl[(2)-equivariant quantization exists.

AB - By computing certain cohomology of Vect(M) of smooth vector fields we prove that on 1-dimensional manifolds M there is no quantization map intertwining the action of non-projective embeddings of the Lie algebra sl(2) into the Lie algebra Vect(M). Contrariwise, for projective embeddings sl[(2)-equivariant quantization exists.

UR - http://www.scopus.com/inward/record.url?scp=34147168710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34147168710&partnerID=8YFLogxK

U2 - 10.2991/jnmp.2007.14.2.4

DO - 10.2991/jnmp.2007.14.2.4

M3 - Article

AN - SCOPUS:34147168710

SN - 1402-9251

VL - 14

SP - 179

EP - 187

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

IS - 2

ER -

On sl(2)-equivariant quantizations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this