Transposed Poisson Structures on Generalized Witt Algebras and Block Lie Algebras

We describe transposed Poisson structures on generalized Witt algebras W ( A , V , ⟨ · , · ⟩ ) and Block Lie algebras L ( A ,  g ,  f ) over a field F of characteristic zero, where ⟨ · , · ⟩ and f are non-degenerate. More specifically, if dim ( V ) > 1 , then all the transposed Poisson algebra st...

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Bibliographic Details

Published in:	Resultate der Mathematik Vol. 78; no. 5; p. 186
Main Authors:	Kaygorodov, Ivan, Khrypchenko, Mykola
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.10.2023 Springer Nature B.V
Subjects:	Algebra Isomorphism Lie groups Mathematics Mathematics and Statistics Secondary 17B40 Transposed poisson algebra 17B63 Primary 17A30 Derivation 17B61 Block Lie algebra Generalized Witt algebra
ISSN:	1422-6383, 1420-9012
Online Access:	Get full text
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