A Geometric Realization of

  • Giovanni Gaiffi

    Università di Pisa, Italy
  • Michele Grassi

    Università di Pisa, Italy


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