Symmetric linear functions of the restricted quantum group U_qsl₂(ℂ)

2007/06/08 by Yusuke Arike, Arike, Yusuke
Mathematics · #16W35 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16W35

paper · pdf · doi:10.48550/arxiv.0706.1113

21 pages

arxiv created 2007/06/08 · openalex publication_date 2007/06/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine a set of primitive idempotents and the basic algebra of the restricted quantum group U_qsl₂(ℂ). As a result, we can show the dimension of the space of symmetric linear functions of U_qsl₂(ℂ) is 3p-1

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