Automorphism group of Suzuki's Hopf algebra

2023/02/20 by Yuxing Shi, Shi, Yuxing, Hu, Naihong
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2302.09773

Abstract

In this paper, we calculate explicitly automorphism group of the Suzuki's Hopf algebra A_Nn^μλ by viewing Yetter-Drinfeld modules as invariants of Hopf algebra automorphisms.

Related

• Hopf automorphisms and twisted extensions
• Hopf actions and Nakayama automorphisms
• Nakayama automorphism and applications
• Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules
• The group of automorphisms of the Jacobian algebra \mA_n