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Abstract We study quantum current algebra A ( R ‾ ) associated with the rational R-matrix of gl N and we give explicit formulae for the elements of its center… Click to show full abstract
Abstract We study quantum current algebra A ( R ‾ ) associated with the rational R-matrix of gl N and we give explicit formulae for the elements of its center at the critical level. Due to Etingof–Kazhdan's construction, the level c vacuum module V c ( R ‾ ) for the algebra A ( R ‾ ) possesses a quantum vertex algebra structure for any complex number c. We prove that any module for the quantum vertex algebra V c ( R ‾ ) is naturally equipped with a structure of restricted A ( R ‾ ) -module of level c and vice versa.
Keywords:
quantum current;
rational matrix;
current algebras;
level;
associated rational;
algebras associated
Journal Title: Advances in Mathematics
Year Published: 2018
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Journal Title: Advances in Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!