Representations of Multiparameter Quantum Groups

2024/04/15 by V. K. Dobrev, Dobrev, V. K.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2404.09843

openalex publication_date 2024/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct representations of the quantum algebras ~U_q\bf q(gl(n)) and ~U_q\bf q(sl(n))~ which are in duality with the multiparameter quantum groups ~GL_q\bf q(n), ~SL_q\bf q(n),~ respectively. These objects depend on ~n(n-1)/2+1~ deformation parameters ~q,q_ij (1≤ i

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