Faithful representations of infinite-dimensional nilpotent Lie algebras

Details Faithful representations of infinite-dimensional nilpotent Lie algebras Faithful representations of infinite-dimensional nilpotent Lie algebras

2011-08-29

arxiv.org/abs/1108.5563v1

Mathematics

Representation Theory

8 pages

Scientific paper

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-Lie algebras we get norm continuous
representations by bounded operators on Banach spaces.

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