Produced representations of Lie algebras and superfields

Rogier Brussee

Displaying similar documents to “Produced representations of Lie algebras and superfields”

Supersymmetry algebras: extensions of orthgonal Lie algebras

Hasiewicz, Zbigniew

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Some constructions in the theory of locally finite simple Lie algebras.

Bahturin, Yuri, Benkart, Georgia (2004)

Journal of Lie Theory

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Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras

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)...

A correspondence between finite-dimensional Lie superalgebras and supergroups.

Vladimir G. Pestov (1992)

Extracta Mathematicae

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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.

Invariants of Lie color algebras acting on graded algebras

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.