Lie and Nijenhuis brackets on affine spaces

DOI10.36045/j.bbms.231013arXiv2310.08979OpenAlexW4391791673MaRDI QIDQ6123825

Tomasz Brzeziński, James Papworth

Publication date: 8 April 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.08979

zbMATH Keywords

affine spaceLie bracketheapaffine moduleNijenhuis operator

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Cites Work

• AV-differential geometry: Poisson and Jacobi structures
• Lie brackets on affine bundles
• Ideal ring extensions and trusses
• Trusses: paragons, ideals and modules
• The cohomology structure of an associative ring
• AV-differential geometry: Euler-Lagrange equations
• A simple model of the integrable Hamiltonian equation
• Trusses: Between braces and rings
• Der baryzentrische Kalkül als axiomatische Grundlage der affinen Geometrie.
• Affine Nijenhuis operators and Hochschild cohomology of trusses
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