Center of the quantum affine vertex algebra associated with trigonometric R -matrix

2016/11/21 by Slaven Kožić, Alexander Molev · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Cellular algebra #Center (category theory) #Filtered algebra #Incidence algebra #Quantum affine algebra #Quantum algebra #Vertex (graph theory) #Vertex operator algebra #math.QA #math.RT

paper · pdf · doi:10.1088/1751-8121/aa7af6

published as J. Phys. A: Math. Theor. 50 (2017) 325201 (21pp) · 24 pages

arxiv created 2016/11/21 · openalex created_date 2016/11/30 · openalex publication_date 2017/06/22 · arxiv updated 2017/09/04 · openalex updated_date 2026/08/05

Abstract

Abstract We consider the quantum vertex algebra associated with the trigonometric R -matrix in type A as defined by Etingof and Kazhdan. We show that its center is a commutative associative algebra and construct an algebraically independent family of topological generators of the center at the critical level.

Citations

• Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1
• Infinite conformal symmetry in two-dimensional quantum field theory
• Quantization of Lie bialgebras, Part IV: The coinvariant construction and the quantum KZ equations
• ℏ -adic Quantum Vertex Algebras and Their Modules
• Vertex algebras, Kac-Moody algebras, and the Monster

Cited by

• On the quantum affine vertex algebra associated with trigonometric R-matrix