Involutive automorphisms and Iwasawa decomposition of affine Kac-Moody superalgebras
K C Pati; D Parashar; K C Pati; Department of Physics and Astrophysics, University of Delhi, Delhi - 110007, India; D Parashar; Department of Physics and Astrophysics, University of Delhi, Delhi - 110007, India
Журнал:
Journal of Physics A: Mathematical and General
Дата:
2000-04-07
Аннотация:
The involutive automorphisms of affine Kac-Moody superalgebras are computed from Satake superdiagrams corresponding to these algebras. These are then used to furnish a general treatment of the Iwasawa decomposition of these algebras. In particular, we consider A <sup>(1)</sup> (0,1) and B <sup>(1)</sup> (1,1) as representative examples for the purpose of illustration.
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