Nambu-like odd brackets on supermanifolds
Dmitrij V. Soroka, Vyacheslav A. Soroka
TL;DR
This paper introduces Grassmann-odd Nambu-like brackets on supermanifolds associated with arbitrary Lie superalgebras, expanding the mathematical framework for supergeometry and algebraic structures.
Contribution
It proposes a new form of Grassmann-odd Nambu-like brackets on supermanifolds linked to arbitrary Lie superalgebras, broadening existing algebraic tools.
Findings
Defined Grassmann-odd Nambu-like brackets on supermanifolds
Extended the brackets to arbitrary Lie superalgebras
Provided a mathematical framework for supergeometry structures
Abstract
The Grassmann-odd Nambu-like brackets corresponding to an arbitrary Lie superalgebra and realized on the supermanifolds are proposed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry