A Note on Constructing Quasi Modules for Quantum Vertex Algebras from Twisted Yangians.

Autor: Kožić, Slaven, Sertić, Marina
Zdroj: Algebras & Representation Theory; Feb2024, Vol. 27 Issue 1, p363-380, 18p
Abstrakt: In this note, we consider the twisted Yangians Y (g N) associated with the orthogonal and symplectic Lie algebras g N = o N , sp N . First, we introduce a certain subalgebra A c (g N) of the double Yangian for gl N at the level c ∈ C , which contains the centrally extended Y (g N) at the level c as well as its vacuum module M c (g N) . Next, we employ its structure to construct examples of quasi modules for the quantum affine vertex algebra V c (gl N) associated with the Yang R-matrix. Finally, we use the description of the center of V c (gl N) to obtain explicit formulae for families of central elements for a certain completion of A c (g N) and invariants of M c (g N) . [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index