Fractional Super Lie Algebras and Groups

Abstract

n^{th} root of a Lie algebra and its dual (that is fractional supergroup) based on the permutation group $S_n$ invariant forms are formulated in the Hopf algebra formalism. Detailed discussion of $S_3$-graided $sl(2)$ algebras is done.

13 pages, detailed discussion of $S_3$-graided $sl(2)$ is added

References in corpus (1)

• Fractional Supersymmetry and Lie Algebras

Cited by in corpus (7)

• Finite-dimensional Lie algebras of order F
• Hopf algebras for ternary algebras
• Poincaré and sl(2) algebras of order 3
• Ternary algebras and groups
• Fractional Supersymmetry and F-fold Lie Superalgebras
• Quantum Group Covariance and the Braided Structure of Deformed Oscillators
• Generalized exclusion and Hopf algebras