The twisted Chern character is a differential form that represents a class in the twisted cohomology with respect to the nilpotent operator
The proof ( given below ) actually goes through for any \ sigma that induces a nilpotent operator on the Lie algebra of " G ".
In the weight space decomposition of as eigenspaces of acts as diagonally, acts as lowering operators and as raising operators . are nilpotent Lie algebras acting as nilpotent operators; they are each other's adjoints on.
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