On the rank and dimension of semisimple Lie algebras of vector fields

Yu G. Zarkhin

doi:10.1007/BF01103080

On the rank and dimension of semisimple Lie algebras of vector fields

Yu G. Zarkhin

Mathematics

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

Abstract

We establish the restrictions imposed by the dimension of a smooth connected real-analytic manifold on the rank and dimension of the real semisimple Lie algebra of vector fields on this manifold.

Original language	English (US)
Pages (from-to)	50-52
Number of pages	3
Journal	Journal of Soviet Mathematics
Volume	63
Issue number	1
DOIs	https://doi.org/10.1007/BF01103080
State	Published - Jan 1993

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Mathematics
Applied Mathematics

Access to Document

10.1007/BF01103080

Cite this

@article{5d08d3cb596e4545b6a54515d794da6b,

title = "On the rank and dimension of semisimple Lie algebras of vector fields",

abstract = "We establish the restrictions imposed by the dimension of a smooth connected real-analytic manifold on the rank and dimension of the real semisimple Lie algebra of vector fields on this manifold.",

author = "Zarkhin, {Yu G.}",

year = "1993",

month = jan,

doi = "10.1007/BF01103080",

language = "English (US)",

volume = "63",

pages = "50--52",

journal = "Journal of Soviet Mathematics",

issn = "0090-4104",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "1",

}

TY - JOUR

T1 - On the rank and dimension of semisimple Lie algebras of vector fields

AU - Zarkhin, Yu G.

PY - 1993/1

Y1 - 1993/1

N2 - We establish the restrictions imposed by the dimension of a smooth connected real-analytic manifold on the rank and dimension of the real semisimple Lie algebra of vector fields on this manifold.

AB - We establish the restrictions imposed by the dimension of a smooth connected real-analytic manifold on the rank and dimension of the real semisimple Lie algebra of vector fields on this manifold.

UR - http://www.scopus.com/inward/record.url?scp=34250083019&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250083019&partnerID=8YFLogxK

U2 - 10.1007/BF01103080

DO - 10.1007/BF01103080

M3 - Article

AN - SCOPUS:34250083019

SN - 0090-4104

VL - 63

SP - 50

EP - 52

JO - Journal of Soviet Mathematics

JF - Journal of Soviet Mathematics

IS - 1

ER -

On the rank and dimension of semisimple Lie algebras of vector fields

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this