Fock space realizations of imaginary Verma modules

DOI10.1007/s10468-005-0857-yzbMath1122.17015OpenAlexW2145747690MaRDI QIDQ816634

Ben L. Cox

Publication date: 23 February 2006

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-005-0857-y

zbMATH Keywords

affine Lie algebrasFock spacesimaginary Verma modules

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Free field realizations of the elliptic affine Lie algebra \(\mathfrak{sl}(2, \mathbb R)\oplus (\varOmega_R/dR)\), Imaginary Verma Modules for the Extended Affine Lie Algebrasl₂(ℂ_q), Affine Lie algebra representations induced from Whittaker modules, Weight modules over infinite dimensional Weyl algebras, Structure of intermediate Wakimoto modules, Positive energy representations of affine vertex algebras, Virasoro action on imaginary Verma modules and the operator form of the KZ-equation, Geometric realizations of affine Kac-Moody algebras, Realizations of 𝐴₁⁽¹⁾-modules in category ̃𝒪, Generalized imaginary Verma and Wakimoto modules, Localization of free field realizations of affine Lie algebras, Free Field Realizations of Induced Modules for Affine Lie Algebras, Representations of Lie algebras, 𝕁-Intermediate Wakimoto Modules

Cites Work

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• Affine Kac-Moody algebras and semi-infinite flag manifolds
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Verma modules induced from nonstandard Borel subalgebras
• Imaginary Verma Modules for Affine Lie Algebras