Irreducible modules over finite simple Lie pseudoalgebras. I: Primitive pseudoalgebras of type \(W\) and \(S\).

DOI10.1016/j.aim.2005.07.003zbMath1104.17006arXivmath/0410213OpenAlexW2016313363MaRDI QIDQ2496720

Bojko Bakalov, Alessandro D'Andrea, Victor G. Kac

Publication date: 20 July 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410213

zbMATH Keywords

universal enveloping algebraLie pseudoalgebraconformal algebrafinite simple Lie pseudoalgebrairreducible finite modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Lie algebras and Lie superalgebras (17B99) Hopf algebras and their applications (16T05)

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Cites Work

• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Unital associative pseudoalgebras and their representations
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• Theory of finite pseudoalgebras
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