Sujeewa Wickramasekara
On the Representations of Lie Groups and Lie Algebras in Rigged Hilbert Spaces
Preprint series: ESI preprints

MSC:

22E15 General properties and structure of real Lie groups

22E60 Lie algebras of Lie groups, {For the algebraic theory of Lie algebras, See 17Bxx}

46N50 Applications in quantum physics

PACS: 2.20.Qs,2.20.Sv,2.30.Sa,3.65.Db
Abstract: We discuss some basic properties of Lie group and Lie algebra
representations in rigged Hilbert spaces. In particular, we will
establish a condition that determines if from a given Lie algebra
representation a representation of the corresponding Lie group can be
obtained in a rigged Hilbert space.
Keywords: Rigged Hilbert Spaces, Lie Groups, Lie Algebras, Differentiable Representations