Vertex representations of quantum N-toroidal algebras for type C

TL;DR

This paper constructs a level-one vertex representation for quantum N-toroidal algebras of type C, extending the understanding of their structure and providing specific modules for quantum toroidal algebras.

Contribution

It introduces a novel level-one vertex representation for quantum N-toroidal algebras of type C, a significant extension of existing algebraic frameworks.

Findings

Constructed a level-one vertex representation for quantum N-toroidal algebra of type C

Derived a level-one module for quantum toroidal algebra of type C as a special case

Enhanced the algebraic understanding of quantum N-toroidal algebras

Abstract

Quantum N-toroidal algebras are generalizations of quantum affine algebras and quantum toroidal algebras. In this paper we construct a level-one vertex representation of the quantum N-toroidal algebra for type C. In particular, we also obtain a level-one module of the quantum toroidal algebra for type C as a special case.