Homogeneous averaging operators on simple finite conformal Lie algebras

We describe all homogeneous averaging operators on finite simple conformal Lie algebras. In the case of current algebras, these operators are closely related to rational solutions of the classical Yang–Baxter equation.

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Veröffentlicht in:Journal of mathematical physics 2015-07, Vol.56 (7), p.1
1. Verfasser: Kolesnikov, Pavel
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description We describe all homogeneous averaging operators on finite simple conformal Lie algebras. In the case of current algebras, these operators are closely related to rational solutions of the classical Yang–Baxter equation.
doi_str_mv 10.1063/1.4927068
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source AIP Journals Complete; Alma/SFX Local Collection
subjects Algebra
Lie groups
Physics
title Homogeneous averaging operators on simple finite conformal Lie algebras
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