Characters of irreducible representations of the Lie algebra of vector fields on the circle

DOI10.1007/BF01389129zbMath0498.17010OpenAlexW2012654953WikidataQ115393630 ScholiaQ115393630MaRDI QIDQ1171120

Alvany Rocha-Caridi, Nolan R. Wallach

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143013

zbMATH Keywords

Verma modulesLie algebra of vector fieldsresolutionscharacter formulasirreducible highest weight module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in Lie (super)algebras (17B55)

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Cites Work

• Moduln mit einem höchsten Gewicht
• Lie algebra homology and the Macdonald-Kac formulas
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• Cohomology of Lie algebras of formal vector fields on the line
• Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas
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