经典Askey-Wilson代数的FRT表示
FRT presentation of classical Askey-Wilson algebras
摘要：
引入了无限维Onsager代数的自同构.昂萨格代数的某些子代数是用这些自同构中的多项式来表示的。在最简单的情况下，商与Askey-Wilson代数的经典模拟一致。在一般情况下，得到了经典Askey-Wilson代数的推广.构造了非标准经典Yang-Baxter代数的相应解类，并由此导出了交换子代数中元素的生成函数。我们还提供了另一种介绍的Onsager代数和经典的Askey-Wilson代数。
英文摘要：
Automorphisms of the infinite dimensional Onsager algebra are introduced. Certain quotients of the Onsager algebra are formulated using a polynomial in these automorphisms. In the simplest case, the quotient coincides with the classical analog of the Askey-Wilson algebra. In the general case, generalizations of the classical Askey-Wilson algebra are obtained. The corresponding class of solutions of the non-standard classical Yang-Baxter algebra are constructed, from which a generating function of elements in the commutative subalgebra is derived. We provide also another presentation of the Onsager algebra and of the classical Askey-Wilson algebras.
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