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math.RT2016★ 10 cited
Half-Lie groups
Timothée Marquis, Karl-Hermann Neeb
In this paper we study the Lie theoretic properties of a class of topological groups which carry a Banach manifold structure but whose multiplication is not smooth. If and …
math.RT2015★ 3 cited
Positive energy representations of double extensions of Hilbert loop algebras
Timothée Marquis, Karl-Hermann Neeb
A real Lie algebra with a compatible Hilbert space structure (in the sense that the scalar product is invariant) is called a Hilbert-Lie algebra. Such Lie algebras are natural infi…
math.RT2015★ 5 cited
Positive energy representations for locally finite split Lie algebras
Timothée Marquis, Karl-Hermann Neeb
Let be a locally finite split simple complex Lie algebra of type , , or and be a splitting Cartan subalgebra…