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.
Publié le : 2000-12-08
Classification:
Mathematics - Representation Theory,
High Energy Physics - Theory,
Mathematical Physics,
Mathematics - Group Theory,
Mathematics - Quantum Algebra
@article{0012058,
author = {Ahmedov, H. and Yildiz, A. and Ucan, Y.},
title = {Fractional Super Lie Algebras and Groups},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0012058}
}
Ahmedov, H.; Yildiz, A.; Ucan, Y. Fractional Super Lie Algebras and Groups. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012058/