References
- Block , R. E. and Wilson , R. L. 1988 . Classification of the restricted simple Lie algebras . J. Algebra , 114 : 115 – 259 .
- Jin , N. 1992 . Ad-nilpotent, quasi-nilpotent elements and invariant filtrations of infinite dimensional Lie algebras of Cartan type . Sci. China , 35 ( 10 ) : 1191 – 1200 .
- Kac , V. G. 1970 . The classification of the simple Lie algebras over a field with non-zero characteristic . Math. USSR-Izv. , 4 : 391 – 413 .
- Kac , V. G. 1974 . Description of filtered Lie superalgebras with which graded Lie algebras of Cartan type are associated . Math. USSR-Izv. , 8 : 801 – 835 .
- Kac , V. G. 1977 . Lie superalgebras . Adv. Math. , 26 : 8 – 96 . [CROSSREF]
- Kac , V. G. 1998 . Classification of infinite-dimensional simple linearly compact Lie superalgebras . Adv. Math. , 139 : 1 – 55 . [CROSSREF]
- Kochetkov , Yu. 1983 . “ Induced irreducible representations of Leites superalgebras (in Russian) ” . In Problem in group theory and homological algebra Vol. 139 , 120 – 123 . Yaroslavl : Yaroslav Gos. Univ. .
- Kostrikin , A. I. and Shafarevic , I. R. 1969 . Graded Lie algebras of finite characteristic . Math. USSR-Izv. , 3 : 237 – 304 .
- Rudakov , A. N. 1986 . Subalgebras and automorphisms of Lie algebras of Cartan type (Russian) . Funktsional Anal. i Prilozhen , 20 ( 1 ) : 83 – 84 .
- Scheunert , M. 1979 . Theory of Lie Superalgebras , Lecture Notes in Math. 716 Springer-Verlag .
- Shen , G. 1981 . An intrinsic property of the Lie algebra K(m, n ) . Chinese Ann. Math. , 2 : 104 – 107 .
- Strade , H. 1993 . The classification of the simple modular Lie algebras: IV. Determining the associated graded algebra . Ann. Math. , 138 : 1 – 59 .
- Strade , H. and Farnsteiner , R. 1988 . Modular Lie Algebras and Their Representations , Monographs and Textbooks. Vol. 116 Marcel Dekker .
- Wilson , R. L. 1971 . Classification of generalized Witt algebras over algebraically closed fields . Trans. Amer. Math. Soc. , 153 : 191 – 210 .
- Wilson , R. L. 1976 . A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic . J. Algebra , 40 : 418 – 465 . [CROSSREF]
- Wilson , R. L. 1980 . Simple Lie algebras of type S . J. Algebra , 62 : 292 – 298 .
- Zhang , Y. 1997 . Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic . Chinese Sci. Bull. , 42 : 720 – 724 .
- Zhang , Y. and Nan , J. 1998 . Finite dimensional Lie superalgebras W(m, n, t ) and S(m, n, t ) of Cartan type . Chinese Adv. Math. , 27 ( 3 ) : 240 – 246 .
- Zhang , Y. and Shen , G. 1998 . The embedding theorem of ℤ-graded Lie superalgebras . Sci. China (series A) , 41 ( 10 ) : 1009 – 1016 .
- Zhang , Y. and Fu , H. 2002 . Finite-dimensional Hamiltonian Lie superalgebras . Comm. Algebra , 30 ( 6 ) : 2651 – 2673 . [CROSSREF]
- #Communicated by K. Misra.