|
Organizers |
Z-gradation of Classical Affine Lie Algebras and Kac parameters
by
Tomislav Šikić
Department of Mathematics, University of Zagreb
An algorithm is presented which determines the Kac parameters
(nonnegative relatively prime integers) for every Z-gradation of
type s of a classical affine Lie algebra
(X_l^(1) =A_l^(1), B_l^(1),
C_l^(1), D_l^(1)).
This algorithm determines also the corresponding base
(the so called Kac base) of the root system
of the classical affine Lie algebra. It is shown that in order to find
the desired Kac parameters, as well as the Kac base, one first has to determine
the corresponding simple Lie algebra. Therefore the results for
classical simple Lie algebras are proved as well.
Date received: April 25, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagt-34.