Post-Lie algebra structures on solvable Lie algebra \(t(2, \mathbb{C})\)

DOI10.1016/j.laa.2014.08.019zbMath1335.17010OpenAlexW2001081880WikidataQ115344537 ScholiaQ115344537MaRDI QIDQ741500

Yang Zhang, Xiao Min Tang

Publication date: 12 September 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.08.019

zbMATH Keywords

Gröbner basisLie algebrapost-Lie algebraupper triangular matrix

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Related Items (12)

Biderivations of the higher rank Witt algebra without anti-symmetric condition ⋮ Biderivations of the twisted Heisenberg–Virasoro algebra and their applications ⋮ Biderivations and commutative post-Lie algebra structures on the Lie algebra \(\mathcal{W}(a,b)\) ⋮ Biderivations of the planar Galilean conformal algebra and their applications ⋮ Post-Lie algebra structures on the Witt algebra ⋮ Derivations of the Schrödinger algebra and their applications ⋮ Biderivations of the deformative Schrödinger-Virasoro algebras ⋮ Biderivations of the Galilean Conformal Algebra and their applications ⋮ Rota-Baxter operators on unital algebras ⋮ Unnamed Item ⋮ Biderivations and commutative post-Lie algebra structure on Schrödinger-Virasoro Lie algebras ⋮ Biderivations and linear commuting maps on the restricted contact Lie algebras K(n; )

Cites Work

• Unnamed Item
• On post-Lie algebras, Lie-Butcher series and moving frames
• Affine actions on Lie groups and post-Lie algebra structures
• Rota-Baxter operators on 4-dimensional complex simple associative algebras
• Homology of generalized partition posets
• Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras
• Post-Lie algebra structures on the Lie algebra \(g l(2, C)\)
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• PostLie algebra structures on the Lie algebra sl(2,C)
• LR-algebras
• Post-Lie algebra structures and generalized derivations of semisimple Lie algebras
• Algebraic Operads

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