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math.RT2011
Faithful representations of infinite-dimensional nilpotent Lie algebras
Ingrid Beltita, Daniel Beltita
For locally convex, nilpotent Lie algebras we construct faithful representations by nilpotent operators on a suitable locally convex space. In the special case of nilpotent Banach-…
math.RT2011★ 1 cited
On differentiability of vectors in Lie group representations
Ingrid Beltita, Daniel Beltita
We address a linearity problem for differentiable vectors in representations of infinite-dimensional Lie groups on locally convex spaces, which is similar to the linearity problem…
math.RT2011
Schur--Weyl Theory for -algebras
Daniel Beltita, Karl-Hermann Neeb
To each irreducible infinite dimensional representation $(π,\cH)$ of a -algebra $\cA$, we associate a collection of irreducible norm-continuous unitary representations $π_λ^\c…