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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??? |
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頁(從 - 到) | 12-29 |
頁數 | 18 |
期刊 | Journal of Algebra |
卷 | 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。專案
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