Hopf quivers and Nichols algebras in positive characteristic

2009/01/28 by Claude Cibils, Cibils, Claude, Aaron Lauve +3
Mathematics · #16W30 #57T05 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.0901.4408

openalex publication_date 2009/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply a combinatorial formula of the first author and Rosso, for products in Hopf quiver algebras, to determine the structure of Nichols algebras. We illustrate this technique by explicitly constructing new examples of Nichols algebras in positive characteristic. We further describe the corresponding Radford biproducts and some liftings of these biproducts, which are new finite dimensional pointed Hopf algebras.

Citations

• Differential calculus on compact matrix pseudogroups (quantum groups)

Related

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• Examples of finite-dimensional pointed Hopf algebras in positive characteristic
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