Finite dimensional Nichols algebras over Suzuki algebra II: over simple Yetter-Drinfeld modules of A_{N 2n+1}^μλ

2021/03/11 by Yuxing Shi, Shi, Yuxing
Mathematics · Physics and Astronomy · #16T05 #16T25 #17B22 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2103.06475

openalex publication_date 2021/03/11 · openalex created_date 2021/03/15 · openalex updated_date 2026/07/28

Abstract

In this paper, the author gives a complete set of simple Yetter-Drinfeld modules over Suzuki algebra A_{N 2n+1}^μλ and investigates the Nichols algebras over those irreducible Yetter-Drinfeld modules. The finite dimensional Nichols algebras of diagonal type are of Cartan type A₁, A₁× A₁, A₂, Super type A₂(q;I₂) and the Nichols algebra \mathfrakufo(8). And the involved finite dimensional Nichols algebras of non-diagonal type are 12, 4m and m² dimensional. The left three unsolved cases are set as open problems.

Citations

• Quantum double finite group algebras and their representations

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