Naturally graded -filiform Lie algebras in arbitrary finite dimension.
Cabezas, J.M., Pastor, E. (2005)
Journal of Lie Theory
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Displaying similar documents to “Irreducible identities of -algebras.”
Naturally graded -filiform Lie algebras in arbitrary finite dimension.
Some constructions in the theory of locally finite simple Lie algebras.
Bahturin, Yuri, Benkart, Georgia (2004)
Journal of Lie Theory
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Formal de Rham theory: irreducible representations of finite simple Lie pseudoalgebras
Alessandro D'Andrea (2004)
Bollettino dell'Unione Matematica Italiana
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In this communication, I recall the main results [BDK1] in the classification of finite Lie pseudoalgebras, which generalize several previously known algebraic structures, and announce some new results [BDK2] concerning their representation theory.
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Hasiewicz, Zbigniew
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R. K. Amayo (1973)
Compositio Mathematica
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Invariant nonassociative algebra structures on irreducible representations of simple Lie algebras.
Bremner, Murray, Hentzel, Irvin (2004)
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Contact Lie algebras of vector fields on the plane.
Doubrov, Boris M., Komrakov, Boris P. (1999)
Geometry & Topology
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Some properties of the family of modular Lie superalgebras
Xiaoning Xu, Liangyun Chen (2013)
Czechoslovak Mathematical Journal
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In this paper, we continue to investigate some properties of the family of finite-dimensional simple modular Lie superalgebras which were constructed by X. N. Xu, Y. Z. Zhang, L. Y. Chen (2010). For each algebra in the family, a filtration is defined and proved to be invariant under the automorphism group. Then an intrinsic property is proved by the invariance of the filtration; that is, the integer parameters in the definition of Lie superalgebras are intrinsic. Thereby, we classify...