BRAID GROUP ACTION AND ROOT VECTORS FOR THE q-ONSAGER ALGEBRA
BRAID GROUP ACTION AND ROOT VECTORS FOR THE q-ONSAGER ALGEBRA
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DOI：
10.1007/s00031-020-09555-7
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发表时间：
2017-06
影响因子：
0.7
通讯作者：
P. Baseilhac;S. Kolb
中科院分区：
文献类型：
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作者：
P. Baseilhac;S. Kolb
我们定义了q-Onsager代数的两个代数自同构φ 0和φ 1，它们提供了G的一个类似.量子群的Lusztig辫子群作用。这些自同构用于定义根向量，从而产生PBW基。我们证明了根向量满足Onsager原始对易关系的q-模拟。本文的写作灵感来自于我。的量子化包络代数的根向量的构造与研究。
We define two algebra automorphismsͲ0andͲ1of theq-Onsager algebra, which provide an analog of G. Lusztig's braid group action for quantum groups. These automorphisms are used to define root vectors which give rise to a PBW basis for. We show that the root vectors satisfyq-analogs of Onsager's original commutation relations. The paper is much inspired by I. Damiani's construction and investigation of root vectors for the quantized enveloping algebra of.