Fractional Super Lie Algebras and Groups
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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
13 pages, detailed discussion of $S_3$-graided $sl(2)$ is added