When Hom-Lie structures form a Jordan algebra

DOI10.1142/s0219498823501979arXiv2211.06631OpenAlexW4280638869WikidataQ115245542 ScholiaQ115245542MaRDI QIDQ6168144

Pasha Zusmanovich

Publication date: 8 August 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.06631

zbMATH Keywords

Witt algebrasimple Lie algebraspecial Jordan algebraanticommutatorHom-Lie structure

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Jordan structures associated with other structures (17C50) Simple, semisimple, reductive (super)algebras (17B20) Hom-Lie and related algebras (17B61) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

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• Hom-structures on simple graded Lie algebras of finite growth
• Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra
• Ado theorem for nilpotent Hom–Lie algebras

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