Introduction to Poisson supermanifolds

DOI10.1016/0926-2245(91)90027-7zbMath0782.58010OpenAlexW2034861757WikidataQ115362794 ScholiaQ115362794MaRDI QIDQ1311951

Frans Cantrijn, Luis A. Ibort

Publication date: 6 March 1994

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(91)90027-7

zbMATH Keywords

Poisson structuresgraded manifoldsLie supergroupsPoisson supermanifolds

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global differential geometry to the sciences (53C80) Supermanifolds and graded manifolds (58A50) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items

Representation of a quantum particle with \(\text{spin}1/2\) by means of the Moyal product and a flat symplectic supermanifold, Poisson geometry, Marsden–Weinstein reduction on graded symplectic manifolds, The Z2-graded Schouten–Nijenhuis bracket and generalized super-Poisson structures, On Deformation Quantization using Super Twistorial Double Fibration, Prop profile of bi-Hamiltonian structures, A characterization of graded symplectic structures, Recursion operators and constants of motion in supermechanics, A note on the existence of graded extensions of Poisson brackets, Introduction to Poisson supermanifolds

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