Abstract
We explain how the recently again discussed N-point Witt, Virasoro, and affine Lie algebras are genus zero examples of the multi-point versions of Krichever–Novikov type algebras as introduced and studied by Schlichenmaier. Using this more general point of view, useful structural insights and an easier access to calculations can be obtained. As example, explicit expressions for the three-point situation are given.
Mathematics Subject Classification (2010). Primary: 17B65; Secondary: 17B68, 17B56, 17B66, 30F30, 81R10, 81T40.
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© 2016 Springer International Publishing Switzerland
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Schlichenmaier, M. (2016). N-point Virasoro Algebras Considered as Krichever–Novikov Type Algebras. In: Kielanowski, P., Ali, S., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-31756-4_23
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DOI: https://doi.org/10.1007/978-3-319-31756-4_23
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-31755-7
Online ISBN: 978-3-319-31756-4
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