Nichols algebras of group type with many quadratic relations
Quantum Algebra
2011-05-31 v1
Abstract
We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All such Nichols algebras are finite-dimensional, and all known finite-dimensional Nichols algebras of nonabelian group type appear in the result of our classification. We find a new finite-dimensional Nichols algebra over fields of characteristic two.
Keywords
Cite
@article{arxiv.1004.3723,
title = {Nichols algebras of group type with many quadratic relations},
author = {M. Graña and I. Heckenberger and L. Vendramin},
journal= {arXiv preprint arXiv:1004.3723},
year = {2011}
}
Comments
29 pages