Extensions of diffeomorphism and current algebras
| dc.creator | Larsson, T. A. | |
| dc.date | 2000-02-07 | |
| dc.date | 2000-03-13 | |
| dc.date.accessioned | 2026-07-07T04:27:38Z | |
| dc.date.available | 2026-07-07T04:27:38Z | |
| dc.description | Dzhumadil'daev has classified all tensor module extensions of $diff(N)$, the diffeomorphism algebra in $N$ dimensions, and its subalgebras of divergence free, Hamiltonian, and contact vector fields. I review his results using explicit tensor notation. All of his generic cocycles are limits of trivial cocycles, and many arise from the Mickelsson-Faddeev algebra for $gl(N)$. Then his results are extended to some non-tensor modules, including the higher-dimensional Virasoro algebras found by Eswara Rao/Moody and myself. Extensions of current algebras with $d$-dimensional representations are obtained by restriction from $diff(N+d)$. This gives a connection between higher-dimensional Virasoro and Kac-Moody cocycles, and between Mickelsson-Faddeev cocycles for diffeomorphism and current algebras. | |
| dc.description | Corrected treatment of special 2-dim cocycles. Added section on div-free, Hamiltonian and contact subalgebras. 34 pages, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math-ph/0002016 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0002016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56491 | |
| dc.subject | Mathematical Physics | |
| dc.title | Extensions of diffeomorphism and current algebras | |
| dc.type | text |