(Hopf) Algebra Automorphisms of the Hopf algebra \check U^{≥ 0}_r,s(\mathfrak sl₃)

2011/06/09 by Xin Tang, Tang, Xin
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA

paper · pdf · doi:10.48550/arxiv.1106.1909

arxiv created 2011/06/09 · openalex publication_date 2011/06/09 · arxiv updated 2011/06/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we completely determine the group of algebra automorphisms for the two-parameter Hopf algebra \check U_r,s^{≥ 0}(\mathfrak sl₃). As a result, the group of Hopf algebra automorphisms is determined for \V as well. We further characterize all the derivations of the subalgebra U⁺_r,s(\mathfrak sl₃), and calculate its first degree Hochschild cohomology group.

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