Heisenberg double of the generalized quantum euclidean group and its representations

2022/11/04 by Limeng Xia, Xia, Limeng
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2211.02500

openalex publication_date 2022/11/04 · openalex created_date 2022/11/12 · openalex updated_date 2026/07/28

Abstract

The generalized quantum Euclidean group \oq(\frakb_m,n) is a natural generalization of the quantum Euclidean group \oq(\frakb_1,1). The Heisenberg double \od(\frakb_m,n) of \oq(\frakb_m,n) is the smash product of \oq(\frakb_m,n) with its Hopf dual \ou(\frakb_m,n). In this paper, we study the weight modules, the prime spectrum and the automorphism group of the Heisenberg double \od(\frakb_m,n).

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