Adventures of Harish-Chandra in Z2 × Z2-graded world
Abstract
We study Z2× Z2 bi-graded Lie algebras. We describe their properties in relation to Lie superalgebras with some compatible structures. Then we focus on the approach to the Lie group--algebra correspondence based on Harish-Chandra pairs and provide some examples of application of it in the bi-graded setting.
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