On and Around the Bounded Cohomology of SL2

Marc Burger () and Nicolas Monod ()
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Marc Burger: ETH Zentrum, FIM
Nicolas Monod: ETH Zentrum, Department of Mathematics

A chapter in Rigidity in Dynamics and Geometry, 2002, pp 19-37 from Springer

Abstract: Abstract In order to illustrate some of the machinery of continuous bounded cohomology, we work out a couple of concrete questions in the particular case of SL2. First we compute, in degree two, the continuous bounded cohomology of SL2(ℝ) with unitary irreducible coefficients. Then we explore the connections between dilogarithm functions and the continuous bounded cohomology of SL2(ℝ) and SL2(ℂ). In particular, we obtain that Rogers’ dilogarithm is uniquely determined by the Spence-Abel functional equation.

Keywords: Unitary Representation; Cohomology Group; Irreducible Unitary Representation; Trivial Representation; Differential Group (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04743-9_2

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DOI: 10.1007/978-3-662-04743-9_2

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