|Title:||Generalized duality for k-forms|
|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.|
|Appears in Collections:||Preprints der Fakultät für Mathematik|
Files in This Item:
|mathematicalPreprint-2011-07.pdf||568.05 kB||Adobe PDF||View/Open|
This item is protected by original copyright
All resources in the repository are protected by copyright.