Universal central extension of the Lie algebra of Hamiltonian vector fields

B. Janssens; Cornelia Vizman

doi:10.1093/imrn/rnv301

Universal central extension of the Lie algebra of Hamiltonian vector fields

B. Janssens^*, Cornelia Vizman

^*Corresponding author for this work

West University of Timisoara

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

Abstract

For a connected symplectic manifold, we determine the universal
central extension of the Lie algebra of hamiltonian vector fields.
We classify the central extensions of ham(X), of the Lie algebra sp(X) of symplectic vector fields, of the Poisson Lie algebra, and of its
compactly supported version.

Original language	English
Pages (from-to)	4996-5047
Number of pages	52
Journal	International Mathematics Research Notices
Volume	2016
Issue number	16
Early online date	Oct 2015
DOIs	https://doi.org/10.1093/imrn/rnv301
Publication status	Published - 2016

Access to Document

10.1093/imrn/rnv301

rnv301Final published version, 593 KBLicence: Taverne

Cite this

@article{9e448217a3d7458dbfbd89a7e291bad9,

title = "Universal central extension of the Lie algebra of Hamiltonian vector fields",

abstract = "For a connected symplectic manifold, we determine the universalcentral extension of the Lie algebra of hamiltonian vector fields.We classify the central extensions of ham(X), of the Lie algebra sp(X) of symplectic vector fields, of the Poisson Lie algebra, and of itscompactly supported version.",

author = "B. Janssens and Cornelia Vizman",

year = "2016",

doi = "10.1093/imrn/rnv301",

language = "English",

volume = "2016",

pages = "4996--5047",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "16",

}

TY - JOUR

T1 - Universal central extension of the Lie algebra of Hamiltonian vector fields

AU - Janssens, B.

AU - Vizman, Cornelia

PY - 2016

Y1 - 2016

N2 - For a connected symplectic manifold, we determine the universalcentral extension of the Lie algebra of hamiltonian vector fields.We classify the central extensions of ham(X), of the Lie algebra sp(X) of symplectic vector fields, of the Poisson Lie algebra, and of itscompactly supported version.

AB - For a connected symplectic manifold, we determine the universalcentral extension of the Lie algebra of hamiltonian vector fields.We classify the central extensions of ham(X), of the Lie algebra sp(X) of symplectic vector fields, of the Poisson Lie algebra, and of itscompactly supported version.

U2 - 10.1093/imrn/rnv301

DO - 10.1093/imrn/rnv301

M3 - Article

SN - 1073-7928

VL - 2016

SP - 4996

EP - 5047

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 16

ER -

Universal central extension of the Lie algebra of Hamiltonian vector fields

Abstract

Access to Document

Fingerprint

Cite this