QUANTIZATION OF SEMISIMPLE REAL LIE GROUPS

被引：0

作者：

DE Commer, Kenny ^{[1
]}

机构：

[1] Vrije Univ Brussel, Dept Math & Data Sci, Pl Laan 2, B-1050 Brussels, Belgium

来源：

ARCHIVUM MATHEMATICUM | 2024年 / 60卷 / 05期

关键词：

quantum groups; real forms; quantized enveloping algebras; Harish-Chandra modules; ZONAL SPHERICAL-FUNCTIONS; QUANTUM; ALGEBRAS; POLYNOMIALS; DUALITY; MODULES; SPACES; ANALOG;

D O I：

10.5817/AM2024-5-285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a novel construction of quantized universal enveloping *-algebras of real semisimple Lie algebras, based on Letzter's theory of quantum symmetric pairs. We show that these structures can be 'integrated', leading to a quantization of the group C*-algebra of an arbitrary semisimple algebraic real Lie group.

引用

页码：285 / 310

页数：26

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