Rank 2 Nichols algebras of diagonal type over fields of positive characteristic.

DOI10.3842/SIGMA.2015.011zbMath1318.16031arXiv1407.6817OpenAlexW2169356733MaRDI QIDQ2339250

Jing Wang, István Heckenberger

Publication date: 31 March 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6817

zbMATH Keywords

root systemsNichols algebrasWeyl groupoidsCartan graphs

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items (12)

Rank 4 finite-dimensional Nichols algebras of diagonal type in positive characteristic ⋮ On non-connected pointed Hopf algebras of dimension 16 in characteristic 2 ⋮ Pointed Hopf algebras of dimension \(p^2q\) in characteristic \(p\) ⋮ On subsequences of quiddity cycles and Nichols algebras ⋮ On the structure and cohomology ring of connected Hopf algebras ⋮ On finite dimensional Nichols algebras of diagonal type ⋮ Finite Cartan graphs attached to Nichols algebras of diagonal type ⋮ A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups ⋮ Rank three Nichols algebras of diagonal type over arbitrary fields ⋮ Primitive deformations of quantum \(p\)-groups ⋮ Examples of finite-dimensional pointed Hopf algebras in positive characteristic ⋮ EXAMPLES OF FINITE-DIMENSIONAL POINTED HOPF ALGEBRAS IN CHARACTERISTIC 2

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