Lie antialgebras: Prémices

DOI10.1016/J.JALGEBRA.2010.10.003zbMath1247.17006arXiv0705.1629OpenAlexW2962811093WikidataQ115351227 ScholiaQ115351227MaRDI QIDQ630853

Valentin Ovsienko

Publication date: 22 March 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1629

zbMATH Keywords

Lie antialgebrascommutative superalgebras, Lie-Poisson bivector

Mathematics Subject Classification ID

Superalgebras (17A70) Graded Lie (super)algebras (17B70) Super structures (17C70)

Related Items (13)

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ Extensions of superalgebras of Krichever-Novikov type ⋮ Crossed modules for Hom–Lie antialgebras ⋮ Lie superalgebras of Krichever-Novikov type and their central extensions ⋮ A matrix Miura transform ⋮ Lie antialgebras: Prémices ⋮ Universal enveloping algebras of Lie antialgebras ⋮ On Hom-Lie antialgebra ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ Unnamed Item ⋮ Simple graded commutative algebras. ⋮ The even, the odd, the superalgebras and their derivations ⋮ From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

Cites Work

• Unnamed Item
• Universal enveloping algebras of Lie antialgebras
• Lie antialgebras: Prémices
• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• Kaplansky superalgebras
• On the Projective Geometry of the Supercircle: A Unified Construction of the Super Cross-Ratio and Schwarzian Derivative
• Representations of asl2
• Conformal symbols and the action of contact vector fields over the superline
• A new construction of the Kac Jordan superalgebra

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