Center of the universal Askey-Wilson algebra at roots of unity

Hau Wen Huang

doi:10.1016/j.nuclphysb.2016.05.006

Center of the universal Askey-Wilson algebra at roots of unity

Hau Wen Huang

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

6 引文斯高帕斯（Scopus）

摘要

Inspired by a profound observation on the Racah-Wigner coefficients of U_q(sl₂), the Askey-Wilson algebras were introduced in the early 1990s. A universal analog Δ_q of the Askey-Wilson algebras was recently studied. For q not a root of unity, it is known that Z(Δ_q) is isomorphic to the polynomial ring of four variables. A presentation for Z(Δ_q) at q a root of unity is displayed in this paper. As an application, a presentation for the center of the double affine Hecke algebra of type (C₁^∨,C₁) at roots of unity is obtained.

原文	???core.languages.en_GB???
頁（從 - 到）	260-296
頁數	37
期刊	Nuclear Physics B
卷	909
DOIs	https://doi.org/10.1016/j.nuclphysb.2016.05.006
出版狀態	已出版 - 1 8月 2016

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10.1016/j.nuclphysb.2016.05.006

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Center of the universal Askey-Wilson algebra at roots of unity

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