Modules for loop Affine-Virasoro algebras

DOI10.1142/S0219498821500559zbMath1469.17023arXiv1907.08832MaRDI QIDQ4988246

Senapathi Eswara Rao

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08832

zbMATH Keywords

integrable modulesaffine-Virasoro algebraaffine central operators

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68)

Related Items (4)

Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ Representations of map extended Witt algebras ⋮ Partial classification of irreducible modules for loop-Witt algebras ⋮ Integrable modules for loop affine-Virasoro algebras

Cites Work

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• Representations of the affine-Virasoro algebra of type \(A_1\)
• A categorical approach to Weyl modules
• Classification of irreducible quasifinite modules over map Virasoro algebras
• Fock space representations of affine Lie algebras and integral representations in the Wess-Zumino-Witten models
• Complete reducibility of integrable modules for the affine Lie (super)algebras
• Irreducible representations for the affine-Virasoro Lie algebra of type \(B_l\)
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Irreducible representations for toroidal Lie-algebras
• Weyl Modules Associated to Kac–Moody Lie Algebras
• Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
• Bosonic Fock representations of the affine-Virasoro algebra
• Generalized Casimir operators
• Classification of irreducible integrable highest weight modules for current Kac–Moody algebras
• Irreducible finite-dimensional representations of equivariant map algebras

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