%0 Journal Article
%T Generalized duality for k-forms
%A Frank Klinker
%J Mathematics
%D 2011
%I arXiv
%R 10.1016/j.geomphys.2011.07.007
%X We give the definition of a duality that is applicable to arbitrary $k$-forms. The operator that defines the duality depends on a fixed form $\Omega$. Our definition extends in a very natural way the Hodge duality of $n$-forms in $2n$ dimensional spaces and the generalized duality of two-forms. We discuss the properties of the duality in the case where $\Omega$ is invariant with respect to a subalgebra of $\mathfrak{so}(V)$. Furthermore, we give examples for the invariant case as well as for the case of discrete symmetry.
%U http://arxiv.org/abs/1109.0894v1