Defining relations of quantum symmetric pair coideal subalgebras
Defining relations of quantum symmetric pair coideal subalgebras
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DOI：
10.1017/fms.2021.61
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发表时间：
2021-04
期刊：
影响因子：
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通讯作者：
S. Kolb;M. Yakimov
中科院分区：
文献类型：
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作者：
S. Kolb;M. Yakimov
摘要明确确定了Kac-Moody型量子化包络代数的所有量子对称对共理想子代数的定义关系。我们的方法是基于非交换${\mathbb N}$分级代数上的星积。所得到的定义关系用连续q-Hermite多项式和一类新的变形Chebyshev多项式表示。
Abstract We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantised enveloping algebras of Kac–Moody type. Our methods are based on star products on noncommutative ${\mathbb N}$-graded algebras. The resulting defining relations are expressed in terms of continuous q-Hermite polynomials and a new family of deformed Chebyshev polynomials.