Fractional Super Lie Algebras and Groups
Representation Theory
2008-11-26 v3 High Energy Physics - Theory
Mathematical Physics
Group Theory
math.MP
Quantum Algebra
Abstract
n^{th} root of a Lie algebra and its dual (that is fractional supergroup) based on the permutation group invariant forms are formulated in the Hopf algebra formalism. Detailed discussion of -graided algebras is done.
Cite
@article{arxiv.math/0012058,
title = {Fractional Super Lie Algebras and Groups},
author = {H. Ahmedov and A. Yildiz and Y. Ucan},
journal= {arXiv preprint arXiv:math/0012058},
year = {2008}
}
Comments
13 pages, detailed discussion of $S_3$-graided $sl(2)$ is added