|XXXIV Workshop on Geometric Methods in Physics||28.06-4.07.2015|
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Twisted Cocycles of Lie algebras
Standard cohomology cocycles corresponding to adjoint representation form a vector space which dimension is an invariant for considered Lie algebra. In order to get more invariants of original Lie algebra, we modify the definition of cocycles using complex parameters. The complete classification of these twisted cocycles for q=1,2,3 will be presented.