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.
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页码：285 / 310
页数：26
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