φ-imaginary Verma modules and their generalizations for the toroidal Lie algebras

DOI10.1063/1.4917549zbMath1387.17032OpenAlexW2153294209MaRDI QIDQ5250060

Qing Wang, Chengkang Xu, Shaobin Tan

Publication date: 15 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4917549

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)

Cites Work

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• Toroidal Lie algebras and vertex representations
• A new class of unitarizable highest weight representations of infinite- dimensional Lie algebras. II
• Enveloping algebras and representations of toroidal Lie algebras
• Verma modules induced from nonstandard Borel subalgebras
• Verma-type modules for quantum affine Lie algebras
• Irreducible non-dense \(A_ 1^{(1)}\)-modules
• New irreducible modules for Heisenberg and affine Lie algebras
• Verma type modules for toroidal lie algebras
• Imaginary Verma Modules for Affine Lie Algebras
• Verma type modules of level zero for affine Lie algebras
• Imaginary Verma Modules for the Extended Affine Lie Algebrasl₂(ℂ_q)
• Borel subalgebras and categories of highest weight modules for toroidal Lie algebras

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