An example of a simple double Lie algebra

DOI10.33048/SEMI.2021.18.062arXiv2104.03605WikidataQ115222236 ScholiaQ115222236MaRDI QIDQ6364810

Publication date: 8 April 2021

Abstract: We extend the correspondence between double Lie algebras and skew-symmetric Rota-Baxter operators of weight 0 on the matrix algebra for the infinite-dimensional case. We give the first example of a simple double Lie algebra.

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Associative rings and algebras with additional structure (16W99) Yang-Baxter equations and Rota-Baxter operators (17B38)

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