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- W4367000446 abstract "Let $G$ be a (non compact) connected simply connected locally compact second countable Lie group, either abelian or unimodular of type I, and $rho$ an irreducible unitary representation of $G$. Then, we define the analytic torsion of $G$ localised at the representation $rho$. Next, let $Gamma$ a discrete cocompact subgroup of $G$. We use the localised analytic torsion to define the relative analytic torsion of the pair $(G,Gamma)$, and we prove that it coincides with the Lott $L^2$ analytic torsion of a covering space. We illustrate these constructions analysing in some details two examples: the abelian case, and the case $G=H$, the Heisenberg group." @default.
- W4367000446 created "2023-04-27" @default.
- W4367000446 creator A5005877322 @default.
- W4367000446 creator A5039374195 @default.
- W4367000446 date "2023-04-24" @default.
- W4367000446 modified "2023-10-01" @default.
- W4367000446 title "Localised analytic torsion and relative analytic torsion for non compact Lie groups of type I" @default.
- W4367000446 doi "https://doi.org/10.48550/arxiv.2304.12225" @default.
- W4367000446 hasPublicationYear "2023" @default.
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