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Subjects
17-XX Nonassociative rings and algebras
17Bxx Lie algebras and Lie superalgebras
17B70 Graded Lie (super)algebras

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Unitary representations of the Virasoro algebra and a conjecture of Kac

Vyjayanthi Chari, Andrew Pressley (1988)

Compositio Mathematica

Universal lifting theorem and quasi-Poisson groupoids

David Inglesias-Ponte, Camille Laurent-Gengoux, Ping Xu (2012)

Journal of the European Mathematical Society

We prove the universal lifting theorem: for an $α$ -simply connected and $α$ -connected Lie groupoid $Γ$ with Lie algebroid $A$ , the graded Lie algebra of multi-differentials on $A$ is isomorphic to that of multiplicative multi-vector fields on $Γ$ . As a consequence, we obtain the integration theorem for a quasi-Lie bialgebroid, which generalizes various integration theorems in the literature in special cases. The second goal of the paper is the study of basic properties of quasi-Poisson groupoids. In particular,...

Unrefined minimal K-types for p-adic groups.

Gopal Prasad, Allen Moy (1994)

Inventiones mathematicae

Currently displaying 1 – 3 of 3

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