Finite-Dimensional Irreducible Modules of the Universal Askey–Wilson Algebra

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109212

Title:	Finite-Dimensional Irreducible Modules of the Universal Askey–Wilson Algebra
Authors:	黃皜文;Huang, Hau-Wen
Contributors:	理學院數學系
Keywords:	Classical and Quantum Gravitation;Complex Systems;Mathematical and Computational Physics;Mathematical Physics;Physics;Physics and Astronomy;Quantum Physics;Relativity Theory;Theoretical
Date:	2015-12-01
Issue Date:	2026-04-23 16:15:54 (UTC+8)
Publisher:	Springer New York;Berlin/Heidelberg: Springer Berlin Heidelberg
Abstract:	摘要： Since the introduction of Askey–Wilson algebras by Zhedanov in 1991, the classification of the finite-dimensional irreducible modules of Askey–Wilson algebras remains open. A universal analog ▵ q of the Askey–Wilson algebras was recently studied. In this paper, we consider a family of infinite-dimensional ▵ q -modules. By the universal property of these ▵ q -modules, we classify the finite-dimensional irreducible ▵ q -modules when q is not a root of unity. 其他題名： Commun. Math. Phys 出版者： Berlin/Heidelberg: Springer Berlin Heidelberg 出版日期： 2015-12-01 出處： Communications in mathematical physics, 2015-12, Vol.340 (3), p.959-984 資源來源： SpringerLink Journals 版權： Springer-Verlag Berlin Heidelberg 2015 識別號： ISSN: 0010-3616 識別號： EISSN: 1432-0916 識別號： DOI: 10.1007/s00220-015-2467-9
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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