A formal identity for affine root systems

2003 ◽  
pp. 195-211 ◽  
Author(s):  
I. G. Macdonald
Keyword(s):  
Root Systems ◽  
Formal Identity ◽  
Affine 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.

scholarly journals Affine Kac–Moody algebras graded by affine root systems

2002 ◽  
Vol 253 (1) ◽  
pp. 50-99 ◽  
Author(s):  
Josiane Nervi
Keyword(s):  
Root Systems ◽  
Affine Root Systems

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 The Structure of Total Reflection Orders in Affine Root Systems

1998 ◽  
Vol 205 (1) ◽  
pp. 207-226 ◽  
Author(s):  
Paola Cellini ◽  
Paolo Papi
Keyword(s):  
Root Systems ◽  
Total Reflection ◽  
Affine Root Systems

scholarly journals Convex Orderings in Affine Root Systems

1995 ◽  
Vol 172 (3) ◽  
pp. 613-623 ◽  
Author(s):  
P. Papi
Keyword(s):  
Root Systems ◽  
Affine Root Systems

scholarly journals Affine root systems and dual numbers

2001 ◽  
Vol 102-103 ◽  
pp. 311-315
Author(s):  
I.V. Kostyakov ◽  
N.A. Gromov ◽  
V.V. Kuratov
Keyword(s):  
Root Systems ◽  
Dual Numbers ◽  
Affine Root Systems

Nonreduced extended affine root systems of nullity 3

1997 ◽  
Vol 25 (11) ◽  
pp. 3617-3654 ◽  
Author(s):  
Saeid Azam
Keyword(s):  
Root Systems ◽  
Affine Root Systems
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