Modules with highest weight for affine Lie algebras on Riemann surfaces

DOI10.1007/BF01077040zbMath0848.17023OpenAlexW2079275286MaRDI QIDQ1907472

Oleg K. Sheinman

Publication date: 25 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf01077040

zbMATH Keywords

Kac-Moody algebrashighest weight representationscentral extensionsaffine algebrasalmost graded algebrasKrichever-Novikov algebrasWeyl-Kac character formulaBloch weights

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Loop groups and related constructions, group-theoretic treatment (22E67) Riemann surfaces; Weierstrass points; gap sequences (14H55) Differentials on Riemann surfaces (30F30)

Related Items (7)

Free field realizations of the elliptic affine Lie algebra \(\mathfrak{sl}(2, \mathbb R)\oplus (\varOmega_R/dR)\) ⋮ Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ Orbits and representation of Krichever-Novikov affine-type algebras ⋮ Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics ⋮ The Sugawara construction and Casimir operators for Krichever-Novikov algebras ⋮ Sugawara construction for higher genus Riemann surfaces ⋮ From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

Cites Work

• Unnamed Item
• Orbital theory for affine Lie algebras
• Virasoro-type algebras, Riemann surfaces and strings in Minkowski space
• Unitary representations of some infinite dimensional groups
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Representations of the Heisenberg algebra on a Riemann surface
• Structure of representations generated by vectors of highest weight

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