Supersymmetry algebras: extensions of orthgonal Lie algebras
Hasiewicz, Zbigniew
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Hasiewicz, Zbigniew
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Bahturin, Yuri, Benkart, Georgia (2004)
Journal of Lie Theory
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Johannes Huebschmann (2000)
Banach Center Publications
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Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential)...
Vladimir G. Pestov (1992)
Extracta Mathematicae
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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.
Jeffrey Bergen, Piotr Grzeszczuk (2000)
Colloquium Mathematicae
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We prove a series of "going-up" theorems contrasting the structure of semiprime algebras and their subalgebras of invariants under the actions of Lie color algebras.