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

2021/07/21 by Slaven Kožić
Mathematics · #Affine transformation #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Quantum #Quantum affine algebra #Quantum algebra #Quantum algorithm #Rings, Modules, and Algebras #Type (biology) #Vertex (graph theory) #math.QA #msc:17B37 #msc:17B69 #msc:81R50

paper · pdf · doi:10.1088/1751-8121/ac333b

published as J. Phys. A: Math. Theor. 54 (2021) 485202 (27pp) · 22 pages, comments are welcome

arxiv created 2021/07/21 · openalex created_date 2021/08/02 · openalex publication_date 2021/10/26 · arxiv updated 2021/11/12 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Spinor Representations of U_q(\frak gl(n)) and Quantum Boson-Fermion Correspondence
• ℏ -adic Quantum Vertex Algebras and Their Modules
• Quantum current algebras associated with rational R-matrix
• On the quantum affine vertex algebra associated with trigonometric R-matrix