A Geometric Realization of
Giovanni Gaiffi
Università di Pisa, ItalyMichele Grassi
Università di Pisa, Italy
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Abstract
Given an orientable weakly self-dual manifold of rank two, we build a geometric realization of the Lie algebra as a naturally defined algebra of endomorphisms of the space of differential forms of . We provide an explicit description of Serre generators in terms of natural generators of . This construction gives a bundle on which is related to the search for a natural Gauge theory on . We consider this paper as a first step in the study of a rich and interesting algebraic structure.
Cite this article
Giovanni Gaiffi, Michele Grassi, A Geometric Realization of . Rend. Sem. Mat. Univ. Padova 121 (2009), pp. 121–143
DOI 10.4171/RSMUP/121-7