Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 11 (2015), 011, 24 pages      arXiv:1407.6817      https://doi.org/10.3842/SIGMA.2015.011

Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic

Jing Wang and István Heckenberger
Philipps-Universität Marburg, FB Mathematik und Informatik, Hans-Meerwein-Straße, 35032 Marburg, Germany

Received August 01, 2014, in final form February 02, 2015; Published online February 07, 2015

Abstract
The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.

Key words: Nichols algebra; Cartan graph; Weyl groupoid; root system.

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