Quantum Representation of Affine Weyl Groups and Associated Quantum Curves

We study a quantum (non-commutative) representation of the affine Weyl group, primarily of type ⁽¹⁾₈, where the representation is given by birational actions on two variables, and , with q-commutation relations. Using the tau variables, we also construct quantum ''fundamental''...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Authors: Moriyama, Sanefumi, Yamada, Yasuhiko
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211347
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Quantum Representation of Affine Weyl Groups and Associated Quantum Curves. Sanefumi Moriyama and Yasuhiko Yamada. SIGMA 17 (2021), 076, 24 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine