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Singular vectors in Verma modules over affine algebras

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Publication:1122646
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DOI10.1007/BF01078582zbMath0676.17012MaRDI QIDQ1122646

S. H. Smith

Publication date: 1989

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


zbMATH Keywords

singular vectorsVerma moduleaffine Lie algebrapositive rootsspecial vectors


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) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)


Related Items (4)

Gaudin model, Bethe ansatz and critical level ⋮ Spherical functions on affine Lie groups ⋮ Quantum integrable systems and representations of Lie algebras ⋮ Affine Kac-Moody algebras and semi-infinite flag manifolds



Cites Work

  • Infinite dimensional Lie algebras. An introduction
  • Structure of representations with highest weight of infinite-dimensional Lie algebras




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