Fractional Supersymmetry and F-fold Lie Superalgebras
M. Rausch de Traubenberg, M. J. Slupinski
TL;DR
This paper introduces new classes of F-fold Lie superalgebras, providing both infinite and finite dimensional examples, constructed through an inductive process from existing Lie structures.
Contribution
It presents the first systematic construction of F-fold Lie superalgebras, expanding the algebraic framework beyond traditional Lie superalgebras.
Findings
Finite dimensional F-fold Lie superalgebras constructed from Lie algebras and superalgebras
Infinite dimensional examples provided
Inductive procedure for building new algebraic structures
Abstract
We give infinite dimensional and finite dimensional examples of fold Lie superalgebras. The finite dimensional examples are obtained by an inductive procedure from Lie algebras and Lie superalgebras.
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
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons