1986
DOI: 10.1007/bf01077325
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Subalgebras and automorphisms of Lie algebras of cartan type

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1986
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Cited by 13 publications
(5 citation statements)
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“…

The natural filtrations of the infinite-dimensional modular odd hamiltonian superalgebras are proved to be invariant under automorphism. In nonmodular case, the natural filtrations of the infinite-dimensional Lie algebras X(m) and b X XðmÞ where X ¼ W; S; H or K were proved to be invariant in Rudakov (1986). We are thereby able to obtain an intrinsic characterization of odd hamiltonian superalgebras and establish a property of automorphisms of these Lie superalgebras.

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mentioning
confidence: 90%
“…

The natural filtrations of the infinite-dimensional modular odd hamiltonian superalgebras are proved to be invariant under automorphism. In nonmodular case, the natural filtrations of the infinite-dimensional Lie algebras X(m) and b X XðmÞ where X ¼ W; S; H or K were proved to be invariant in Rudakov (1986). We are thereby able to obtain an intrinsic characterization of odd hamiltonian superalgebras and establish a property of automorphisms of these Lie superalgebras.

…”
mentioning
confidence: 90%
“…Therefore, G c n = G n . Theorem 1.1 was announced in [8] where a sketch of the proof is given based on a study of certain Lie subalgebras of div 0 n of finite codimension. Our proof is based on completely different ideas.…”
Section: Introductionmentioning
confidence: 99%
“…The above theorem was announced in [8] where a sketch of a proof is given, it can also be deduced from [10]. A proof of the above theorem is given in [9] and in ( [7], Theorem 3.6), a different approach and a short proof is given in [2].…”
Section: Introductionmentioning
confidence: 99%
“…Theorem 1.1 was announced in [3] where a sketch of the proof is given based on a study of certain Lie subalgebras of div 0 n of finite codimension. The proof in [1] is based on completely different ideas.…”
Section: Introductionmentioning
confidence: 99%