Nichols algebras of group type with many quadratic relations

By M. Graña, István Heckenberger, Leandro Vendramin. 2010

54 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/99f5c2c324791fe8ea8bb5eb6abbb3a616a7abbe

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In Algebra and Number Theory

1. Victoria Lebed
2. Leandro Vendramin
3. Agata Smoktunowicz

In Geometry and Topology

1. Victoria Lebed
2. Leandro Vendramin
3. Agata Smoktunowicz

In Mathematical Physics

1. Victoria Lebed
2. Leandro Vendramin

Citations in the corpus

• On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation (2017, methodology): “In the SD case, a quotient G of G = G(X, ) refining G was described for 1-orbit racks by Graña, Heckenberger, and the second author [20].”