Fractional Super Lie Algebras and Groups

Details Fractional Super Lie Algebras and Groups Fractional Super Lie Algebras and Groups

2000-12-08

arxiv.org/abs/math/0012058v3

J.Phys.A34:6413-6424,2001

Mathematics

Representation Theory

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

Scientific paper

10.1088/0305-4470/34/33/306

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.

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