scholarly journals THE CLASSIFICATION OF CONVEX ORDERS ON AFFINE ROOT SYSTEMS

2001 ◽  
Vol 29 (12) ◽  
pp. 5605-5630 ◽  
Author(s):  
Ken Ito
Keyword(s):  
Root Systems ◽  
Affine Root Systems

scholarly journals A classification of invertible subsets of affine root systems

1998 ◽  
Vol 131 (2) ◽  
pp. 133-142
Author(s):  
P. Check ◽  
C. Kriloff ◽  
D.R. Stephenson
Keyword(s):  
Root Systems ◽  
Affine Root Systems

scholarly journals Classification of arithmetic root systems

2009 ◽  
Vol 220 (1) ◽  
pp. 59-124 ◽  
Author(s):  
I. Heckenberger
Keyword(s):  
Root Systems

ROOT SYSTEMS ARISING FROM AUTOMORPHISMS

2012 ◽  
Vol 11 (03) ◽  
pp. 1250057 ◽  
Author(s):  
SAEID AZAM ◽  
MALIHE YOUSOSFZADEH
Keyword(s):  
Lie Algebras ◽  
Root Systems ◽  
Affine Lie Algebras ◽  
Combinatorial Approach ◽  
Reflection Algebras ◽  
Affine Root Systems ◽  
Outstanding Work ◽  
Affine Reflection

We study a combinatorial approach of producing new root systems from the old ones in the context of affine root systems and their new generalizations. The appearance of this approach in the literature goes back to the outstanding work of Kac in the realization of affine Kac–Moody Lie algebras. In recent years, this approach has been appeared in many other works, including the study of affinization of extended affine Lie algebras and invariant affine reflection algebras.

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