Resumen de Higher level vertex operators for Uq (s^l2)

Slaven Kozic

• We study graded nonlocal q-vertex algebras and we prove that they can be generated by certain sets of vertex operators. As an application, we consider the family of graded nonlocal q-vertex algebras Vc,1, c ≥ 1, associated with the principal subspaces W(c^0) of the integrable highest weight Uq (s^l2)-modules L(c^0). Using quantum integrability, we derive combinatorial bases for Vc,1 and compute the corresponding character formulae. Key