Highest weight modules over certain quasigraded Lie algebras on elliptic curves

DOI10.1007/BF01075634zbMath0820.17037OpenAlexW1976312863MaRDI QIDQ1324675

Oleg K. Sheinman

Publication date: 6 July 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075634

zbMATH Keywords

Verma modulesirreducible modulesHeisenberg algebrasKrichever-Novikov algebrashigher genus affine Kac-Moody algebrasquasi-graded highest weight modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items

Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case, Universal central extensions of elliptic affine Lie algebras, Four-Point Affine Lie Algebras, Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics, From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond, Degenerations of generalized Krichever–Novikov algebras on tori

Cites Work

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• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Representations of the Heisenberg algebra on a Riemann surface