On pointed Hopf algebras associated with the symmetric groups
Quantum Algebra
2010-06-29 v2
Abstract
It is an important open problem whether the dimension of the Nichols algebra B(O,\rho) is finite when O is the class of the transpositions and \rho is the sign representation, with m>= 6. In the present paper, we discard most of the other conjugacy classes showing that very few pairs (O,\rho) might give rise to finite-dimensional Nichols algebras.
Cite
@article{arxiv.0807.2406,
title = {On pointed Hopf algebras associated with the symmetric groups},
author = {Nicolás Andruskiewitsch and Fernando Fantino and Shouchuan Zhang},
journal= {arXiv preprint arXiv:0807.2406},
year = {2010}
}
Comments
14 pages; typos added in abstract