ON AUTOMORPHISMS OF AFFINE KAC-MOODY ALGEBRAS

REFERENCES

• Kac , V. G. 1985 . Infinite Dimensional Lie algebras , second edition Cambridge University Press .
   Google Scholar
• Levstein , F. 1988 . A classification of involutive automorphisms of an affine KacMoody Lie algebra . Journal of Algebra , 114 : 489 – 518 .
   Web of Science ®Google Scholar
• Helgason , S. 1978 . Differential Geometry, Lie Groups and Symmetric Spaces New York : Academic Press .
   Google Scholar
• Zhang , Zhixue . 1984 . The order 3 automorphisms of a compact semisimple Lie algebra . Journal of Hebei University , 1 : 89 – 94 .
   Google Scholar
• Gantmacher , F. 1939 . On the classification of real simple Lie groups . Mat. Sb. , 5 : 217 – 249 .
   Google Scholar
• Yan , Zhida . 1966 . A classification of real semisimple Lie algebras . Advances in Math. China , 9 : 349 – 364 .
   Google Scholar
• Marakami , S. 1952 . On the automorphisms of a real semisimple Lie algebra . J. Math. Soc. Japan , 4 : 103 – 133 .
   Google Scholar
• Kac , V. G. 1969 . Automorphisms of finite order of semisimple Lie algebras . Funkcional Anal. i Priozen , 3 : 94 – 96 .
   Google Scholar
• Peterson , D. and Kac , V. 1983 . Infinite flag varieties and conjugacy theorems . Pro. Nat. Acad. Sci. U. S. A. , 80 : 1778 – 1782 .
   PubMed Web of Science ®Google Scholar
• Humphreys , J. E. 1972 . Introduction to Lie algebras and representation theory New York : Springer-Verlag .
   Google Scholar
• Carter , R. W. and Chen , Y. 1993 . Automorphisms of affine Kac-Moody Groups and related Chevaley groups over rings . Journal of Algebra , 155 ( 1 ) : 44 – 94 .
   Web of Science ®Google Scholar
• Kac , V. G. and Wang , S. P. 1992 . On automorphisms of Kac-Moody algebras and groups, Adv . in Math. , 92 ( 2 ) : 129 – 195 .
   Web of Science ®Google Scholar
• Kobayashi , Z. 1986 . Automorphisms of Finite Order of the Affine Lie algebra A(1) l . Tsukuba J. Math. , 10 ( 2 ) : 169 – 283 .
   Google Scholar
• Bausch , J. 1986 . Automorphism es algebras de Kac-Moody affine . C. R. Acad. Sci. Paris I Math. , 302 ( 11 ) : 409 – 412 .
   PubMed Web of Science ®Google Scholar