An embedding of the universal Askey–Wilson algebra into Uq(sl2)⊗Uq(sl2)⊗Uq(sl2)

研究成果: 雜誌貢獻期刊論文同行評審

20 引文 斯高帕斯(Scopus)

摘要

The Askey–Wilson algebras were used to interpret the algebraic structure hidden in the Racah–Wigner coefficients of the quantum algebra Uq(sl2). In this paper, we display an injection of a universal analog △q of Askey–Wilson algebras into Uq(sl2)⊗Uq(sl2)⊗Uq(sl2) behind the application. Moreover we establish the decomposition rules for 3-fold tensor products of irreducible Verma Uq(sl2)-modules and of finite-dimensional irreducible Uq(sl2)-modules into the direct sums of finite-dimensional irreducible △q-modules. As an application, we derive a formula for the Racah–Wigner coefficients of Uq(sl2).

原文???core.languages.en_GB???
頁(從 - 到)401-434
頁數34
期刊Nuclear Physics B
922
DOIs
出版狀態已出版 - 9月 2017

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