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h-adic quantum vertex algebras in types B, C, D and their ϕ-coordinated modules

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We introduce the h-adic quantum vertex algebras associated with the trigonometric R-matrices in types B, C and D, thus generalizing the well-known Etingof–Kazhdan construction in type A. We show that… Click to show full abstract

We introduce the h-adic quantum vertex algebras associated with the trigonometric R-matrices in types B, C and D, thus generalizing the well-known Etingof–Kazhdan construction in type A. We show that restricted modules for quantum affine algebras in types B, C and D are naturally equipped with the structure of ϕ-coordinated module for the aforementioned h-adic quantum vertex algebras.

Keywords: adic quantum; algebras types; vertex algebras; types coordinated; quantum vertex

Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2021

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