A class of non-weight modules of \(U_p(\mathfrak{s} \mathfrak{l}_2)\) and Clebsch-Gordan type formulas

DOI10.1515/forum-2020-0345zbMath1491.17008OpenAlexW3137612722WikidataQ113741120 ScholiaQ113741120MaRDI QIDQ2126315

Xiangqian Guo, Yao Ma, Yan-an Cai, Hongjia Chen, Mianmian Zhu

Publication date: 19 April 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2020-0345

zbMATH Keywords

quantum grouptensor productirreducible moduleClebsch-Gordan formulanon-weight module

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (2)

\(U^0\)-free quantum group representations ⋮ Irreducible \(Y(\mathfrak{gl}_{n+1})\)-module structures on a commutative subalgebra

Cites Work

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• Tensor Products and Whittaker Vectors for Quantum Groups
• Introduction to quantum groups
• The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras

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