Nichols algebras of group type with many quadratic relations

Details Nichols algebras of group type with many quadratic relations Nichols algebras of group type with many quadratic relations

2010-04-21

arxiv.org/abs/1004.3723v1

Adv. Math. 227 (2011), no. 5, 1956-1989

Mathematics

Quantum Algebra

29 pages

Scientific paper

10.1016/j.aim.2011.04.006

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.

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