Characters of infinite-dimensional quantum classical groups: BCD cases
Characters of infinite-dimensional quantum classical groups: BCD cases
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DOI：
10.1142/s0219025722500011
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发表时间：
2021-06
期刊：
影响因子：
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通讯作者：
Ryosuke Sato-
中科院分区：
文献类型：
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作者：
Ryosuke Sato-
研究了[公式：见文]-变形经典紧群的归纳极限的特征理论。特别地，我们澄清了Drinfeld-Jimbo量子化普遍包络代数的表示理论与我们之前关于量子化特征的工作之间的关系。我们还应用特征理论构造了一元对偶上的马尔可夫半群[公式：见文]，[公式：见文]及其归纳极限。
We study the character theory of inductive limits of [Formula: see text]-deformed classical compact groups. In particular, we clarify the relationship between the representation theory of Drinfeld–Jimbo quantized universal enveloping algebras and our previous work on the quantized characters. We also apply the character theory to construct Markov semigroups on unitary duals of [Formula: see text], [Formula: see text], and their inductive limits.