A natural Lie super-algebra bundle on rank 3 WSD manifolds
In: Journal of Geometry & Physics, Jg. 59 (2009-02-01), Heft 2, S. 207-220
Online
academicJournal
Abstract: We prove the existence of a natural -Lie super-algebra bundle on any orientable WSD manifold of rank 3. We describe in detail the associated Lie super-algebra of global sections. We show that is a product of with the full special linear super-algebras of some graded vector spaces isotypical with respect to a natural action of . We give an explicit description of a geometrically natural real form of . This real form is made up of -invariant operators which preserve the Poincaré pairing on the bundle of forms. [Copyright &y& Elsevier]
| Titel: |
A natural Lie super-algebra bundle on rank 3 WSD manifolds
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| Autor/in / Beteiligte Person: | Gaiffi, Giovanni ; Grassi, Michele |
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| Zeitschrift: | Journal of Geometry & Physics, Jg. 59 (2009-02-01), Heft 2, S. 207-220 |
| Veröffentlichung: | 2009 |
| Medientyp: | academicJournal |
| ISSN: | 0393-0440 (print) |
| DOI: | 10.1016/j.geomphys.2008.10.005 |
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