Irreducible highest weight representations of quantum groups \(U_ q(gl(n,\mathbb{C}{}))\)
Let \(V\) be a module for the quantum algebra \(U_ q(gl(n,\mathbb{C}))\), and \({\mathcal F}_ n\) the \(n\)-fold tensor product of the Fock space. Then the authors give a representation of \(U_ q(gl(n+1,\mathbb{C}))\) on the space \({\mathcal F}_ n\otimes V\). Using this recurrence, irreducible highest weight representations of \(U_ q(gl(n,\mathbb{C}))\) are obtained.
irreducible highest weight representations
scientific article; zbMATH DE number 95438