First Space Cohomology of the Orthosymplectic Lie Superalgebra in the Lie Superalgebra of Superpseudodifferential Operators
We investigate the first cohomology space associated with the embedding of the Lie Orthosymplectic superalgebra on the (1,n)-dimensional superspace ℝ 1| n in the Lie superalgebra of superpseudodifferential operators with smooth coefficients, where n = 0, 1, 2. Following Ovsienko and Roger, we give...
Gespeichert in:
| Veröffentlicht in: | Algebras and representation theory 2013-02, Vol.16 (1), p.35-50 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We investigate the first cohomology space associated with the embedding of the Lie Orthosymplectic superalgebra
on the (1,n)-dimensional superspace ℝ
1|
n
in the Lie superalgebra
of superpseudodifferential operators with smooth coefficients, where
n
= 0, 1, 2. Following Ovsienko and Roger, we give erxplicit expressions of the basis cocycles. |
|---|---|
| ISSN: | 1386-923X 1572-9079 |
| DOI: | 10.1007/s10468-011-9292-4 |