scholarly journals Unitary Highest Weight-Modules of Inductive Limit Lie Algebras and Groups

1994 ◽  
Vol 167 (1) ◽  
pp. 9-28 ◽  
Author(s):  
L. Natarajan
Keyword(s):  
Lie Algebras ◽  
Inductive Limit ◽  
Highest Weight ◽  
Highest Weight Modules ◽  
Weight Modules

scholarly journals Classification of irreducible integrable highest weight modules for current Kac–Moody algebras

2016 ◽  
Vol 16 (07) ◽  
pp. 1750123 ◽  
Author(s):  
S. Eswara Rao ◽  
Punita Batra
Keyword(s):  
Lie Algebras ◽  
Direct Sums ◽  
Highest Weight ◽  
Finite Dimensional ◽  
Highest Weight Modules ◽  
Weight Modules

This paper classifies irreducible, integrable highest weight modules for “current Kac–Moody Algebras” with finite-dimensional weight spaces. We prove that these modules turn out to be modules of appropriate direct sums of finitely many copies of Kac–Moody Lie algebras.

Sign in / Sign up

Export Citation Format

Share Document