Induced modules for affine Lie algebras

DOI10.3842/SIGMA.2009.026zbMath1209.17021arXiv0810.3458MaRDI QIDQ1016702

Iryna Kashuba, Vyacheslav M. Futorny

Publication date: 21 May 2009

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3458

zbMATH Keywords

parabolic subalgebrainduced moduleirreducible moduleaffine Kac-Moody Lie algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (8)

Quantum affine modules for non-twisted Affine Kac-Moody algebras ⋮ New irreducible modules for Heisenberg and affine Lie algebras ⋮ Affine Lie algebra representations induced from Whittaker modules ⋮ Geometric realizations of affine Kac-Moody algebras ⋮ Generalized imaginary Verma and Wakimoto modules ⋮ Structure of parabolically induced modules for affine Kac-Moody algebras ⋮ Free Field Realizations of Induced Modules for Affine Lie Algebras ⋮ Representations of affine Lie superalgebras and their quantization in type \(A\)

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