Homogeneous averaging operators on simple finite conformal Lie algebras

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
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Physics
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Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4927068