Representations of Infinite-Dimensional Classical Groups, Limits of Enveloping Algebras, and Yangians

1991 ◽  
pp. 1-66 ◽  
Author(s):  
G. I. Olshanskii
Keyword(s):  
Classical Groups ◽  
Infinite Dimensional ◽  
Enveloping Algebras

scholarly journals The Cofinalities of the Infinite Dimensional Classical Groups

1996 ◽  
Vol 179 (3) ◽  
pp. 704-719 ◽  
Author(s):  
Simon Thomas
Keyword(s):  
Classical Groups ◽  
Infinite Dimensional

Infinite Dimensional Classical Groups

1995 ◽  
Vol 51 (2) ◽  
pp. 219-229 ◽  
Author(s):  
T. S. Gardener
Keyword(s):  
Classical Groups ◽  
Infinite Dimensional

scholarly journals Characters of infinite-dimensional quantum classical groups: BCD cases

2021 ◽  
Author(s):  
Ryosuke Sato
Keyword(s):  
Representation Theory ◽  
Character Theory ◽  
Compact Groups ◽  
Markov Semigroups ◽  
Inductive Limits ◽  
Universal Enveloping Algebras ◽  
Infinite Dimensional ◽  
Enveloping Algebras ◽  
Quantized Universal Enveloping Algebras ◽  
The Relationship

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.

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