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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??? |
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頁(從 - 到) | 401-434 |
頁數 | 34 |
期刊 | Nuclear Physics B |
卷 | 922 |
DOIs | |
出版狀態 | 已出版 - 9月 2017 |
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