Constructing irreducible integrable modules for extended baby TKK algebra

2012 ◽  
Vol 55 (12) ◽  
pp. 2417-2432
Author(s):  
XueWu Chang ◽  
FuLin Chen ◽  
ShaoBin Tan
Keyword(s):  
Tkk Algebra ◽  
Integrable Modules

scholarly journals Fermionic Characters and Arbitrary Highest-Weight Integrable -Modules

2006 ◽  
Vol 264 (2) ◽  
pp. 427-464 ◽  
Author(s):  
Eddy Ardonne ◽  
Rinat Kedem ◽  
Michael Stone
Keyword(s):  
Highest Weight ◽  
Integrable Modules

scholarly journals Integrable modules for twisted toroidal extended affine Lie algebras

2020 ◽  
Vol 556 ◽  
pp. 1057-1072
Author(s):  
S. Eswara Rao ◽  
Sachin S. Sharma ◽  
Punita Batra
Keyword(s):  
Lie Algebras ◽  
Affine Lie Algebras ◽  
Integrable Modules

scholarly journals A RECURRENCE RELATION FOR CHARACTERS OF HIGHEST WEIGHT INTEGRABLE MODULES FOR AFFINE LIE ALGEBRAS

2007 ◽  
Vol 09 (02) ◽  
pp. 121-133 ◽  
Author(s):  
WILLIAM J. COOK ◽  
HAISHENG LI ◽  
KAILASH C. MISRA
Keyword(s):  
Recurrence Relation ◽  
Lie Algebras ◽  
Vertex Operator ◽  
Recurrence Relations ◽  
Operator Algebras ◽  
Affine Lie Algebras ◽  
Highest Weight ◽  
Irreducible Modules ◽  
Level 1 ◽  
Integrable Modules

Using certain results for the vertex operator algebras associated with affine Lie algebras, we obtain recurrence relations for the characters of integrable highest weight irreducible modules for an affine Lie algebra. As an application we show that in the simply-laced level 1 case, these recurrence relations give the known characters, whose principal specializations naturally give rise to some multisum Macdonald identities.

Integrable modules for Lie tori

2016 ◽  
Vol 220 (3) ◽  
pp. 1074-1095
Author(s):  
S. Eswara Rao ◽  
Sachin S. Sharma
Keyword(s):  
Integrable Modules
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