Current superalgebras and unitary representations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2017.12.009
Abstract: In this paper we determine the projective unitary representations of finite dimensional Lie supergroups whose underlying Lie superalgebra is $\frak{g} = A \otimes \frak{k}$, where $\frak{k}$ is a compact simple Lie superalgebra and $A$ is… read more here.
Keywords: lie; projective unitary; unitary representations; current superalgebras ... See more keywords
Projective unitary representations of infinite-dimensional Lie groups
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DOI: 10.1215/21562261-2018-0016
Abstract: For an infinite dimensional Lie group $G$ modelled on a locally convex Lie algebra $\mathfrak{g}$, we prove that every smooth projective unitary representation of $G$ corresponds to a smooth linear unitary representation of a Lie… read more here.
Keywords: lie; projective unitary; unitary representations; infinite dimensional ... See more keywords