The Segal-Neretin semigroup of annuli

The Lie algebra of vector fields on \(S^1\) integrates to the Lie group of diffeomorphisms of \(S^1\). It is well known since the work of Segal and Neretin that there is no Lie group whose Lie algebra is the complexification of vector fields on \(S^1\). A substitute for that non-existent group is pr...

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Veröffentlicht in:	arXiv.org 2024-10
Hauptverfasser:	Henriques, André G, Tener, James E
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Annuli Fields (mathematics) Hilbert space Isomorphism Lie groups Operators (mathematics) Representations Riemann surfaces Semigroups
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