Two projections of singular vectors of Verma modules over the affine Lie algebra \(A^1_1\)

DOI10.1007/BF01078794zbMath0707.17014MaRDI QIDQ919452

Dmitry Fuchs

Publication date: 1989

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

zbMATH Keywords

Verma modulessingular vectorsaffine Lie algebra

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) Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30)

Related Items

Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models, Modular data and Verlinde formulae for fractional level WZW models. II

Cites Work

• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Structure of representations generated by vectors of highest weight