Authors: Klinker, Frank
Title: Generalized duality for k-forms
Language (ISO): en
Abstract: 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 so(V). Furthermore, we give examples for the invariant case as well as for the case of discrete symmetry.
URI: http://hdl.handle.net/2003/28015
http://dx.doi.org/10.17877/DE290R-539
Issue Date: 2011-06-08
Appears in Collections:Preprints der Fakultät für Mathematik

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