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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Higher Rank Relations for the Askey–Wilson and $q$-Bannai–Ito Algebra
Hadewijch De Clercq Department of Electronics and Information Systems, Faculty of Engineering and Architecture, Ghent University, Belgium
Аннотация:
The higher rank Askey–Wilson algebra was recently constructed in the $n$-fold tensor product of $U_q(\mathfrak{sl}_2)$. In this paper we prove a class of identities inside this algebra, which generalize the defining relations of the rank one Askey–Wilson algebra. We extend the known construction algorithm by several equivalent methods, using a novel coaction. These allow to simplify calculations significantly. At the same time, this provides a proof of the corresponding relations for the higher rank $q$-Bannai–Ito algebra.
Ключевые слова:
Askey–Wilson algebra, Bannai–Ito algebra.
Поступила: 3 сентября 2019 г.; в окончательном варианте 13 декабря 2019 г.; опубликована 19 декабря 2019 г.
Образец цитирования:
Hadewijch De Clercq, “Higher Rank Relations for the Askey–Wilson and $q$-Bannai–Ito Algebra”, SIGMA, 15 (2019), 099, 32 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1535 https://www.mathnet.ru/rus/sigma/v15/p99
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