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Nichols algebras of group type with many quadratic relations |
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| Authors: | M Graña I Heckenberger L Vendramin |
| Institution: | aDepartamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria (1428), Buenos Aires, Argentina;bPhilipps-Universität Marburg, FB Mathematik und Informatik, Hans-Meerwein-Straße, 35032 Marburg, Germany;cInstituto de Ciencias, Universidad de Gral. Sarmiento, J.M. Gutierrez 1150, Los Polvorines (1653), Buenos Aires, Argentina |
| 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: | Hopf algebras Nichols algebras Racks |
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