A geometric realization of sl(6,C)

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Given an orientable weakly self-dual manifold X of rank two, we build a geometric realization of the Lie algebra sl(6,C) as a naturally defined algebra L of endomorphisms of the space of differential forms of X. We provide an explicit description of Serre generators in terms of natural generators of L. This construction gives a bundle on X which is related to the search for a natural Gauge theory on X. We consider this paper as a first step in the study of a rich and interesting algebraic structure.
16 pages, no figures

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Differential Geometry, Representation Theory, 53A45; 15A66; 20C15

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http://salesiana.dossiersoluciones.com/handle/123456789/126570

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0104
 http://arxiv.org/abs/0704.0104

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arXiv