Twisted Representations of Algebra of -Difference Operators, Twisted - Algebras and Conformal Blocks

We study certain representations of the quantum toroidal ₁ algebra for = . We construct explicit bosonization of the Fock modules ⁽ⁿ′'ⁿ⁾ᵤ with a nontrivial slope ′/. As a vector space, it is naturally identified with the basic level 1 representation of affine ₙ. We also study twisted -algebras...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Bershtein, Mikhail, Gonin, Roman
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210771
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Twisted Representations of Algebra of -Difference Operators, Twisted - Algebras and Conformal Blocks. Mikhail Bershtein and Roman Gonin. SIGMA 16 (2020), 077, 55 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine