On Lie and associative duals

DOI10.1016/0022-4049(93)90117-CzbMath0790.17010OpenAlexW2078774588WikidataQ115364414 ScholiaQ115364414MaRDI QIDQ686113

Warren D. Nichols

Publication date: 26 June 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90117-c

zbMATH Keywords

Lie algebralinearly recursive sequencesderivationLie coalgebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (5)

Dual Lie Bialgebra Structures of Twisted Schrödinger-Virasoro Type ⋮ Dual Lie bialgebra structures of Poisson types ⋮ Dual coalgebras of Jacobian \(n\)-Lie algebras over polynomial rings ⋮ Witt and Virasoro algebras as Lie bialgebras ⋮ Dual Lie bialgebra structures of \(W\)-algebra \(W(2, 2)\) type

Cites Work

• Unnamed Item
• Witt and Virasoro algebras as Lie bialgebras
• The Hopf algebra of linearly recursive sequences
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• An example of a non-zero Lie coalgebra M for which \(Loc(M)=0\)
• The structure of the dual Lie coalgebra of the Witt algebra

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