Twisted Traces and Positive Forms on Generalized -Weyl Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Klyuev, Daniil
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211536
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twisted Traces and Positive Forms on Generalized -Weyl Algebras. Daniil Klyuev. SIGMA 18 (2022), 009, 28 pages

Let be a generalized -Weyl algebra, it is generated by , , , ⁻¹ with relations ⁻¹ = ², ⁻¹ = ⁻², = (⁻¹), = (), where is a Laurent polynomial. A Hermitian form (⋅,⋅) on is called invariant if (, ) = (, ⁻¹), (, ) = (, ), (, ) = (, ⁻¹) for some s ∈ C with || = 1 and all , ∈ . In this paper, we cl...