Finite-dimensional irreducible modules of the universal Askey–Wilson algebra at roots of unity

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

Let F denote an algebraically closed field and assume that q∈F is a primitive dth root of unity with d≠1,2,4. The universal Askey–Wilson algebra △q is a unital associative F-algebra defined by generators and relations. The generators are A,B,C and the relations assert that each of [Formula presented] [Formula presented] commutes with A,B,C. We show that every finite-dimensional irreducible △q-module is of dimension less than or equal to {difdis odd;d/2ifdis even. Moreover we provide an example to show that the bound is tight.

原文???core.languages.en_GB???
頁(從 - 到)12-29
頁數18
期刊Journal of Algebra
569
DOIs
出版狀態已出版 - 1 3月 2021

指紋

深入研究「Finite-dimensional irreducible modules of the universal Askey–Wilson algebra at roots of unity」主題。共同形成了獨特的指紋。

引用此