%0 Journal Article %T Commutative operators for double Yangian \(DY(sl_n)\) %A Ko£żi£ż %A Slaven %J - %D 2018 %R 10.3336/gm.53.1.07 %X Sa£żetak We derive explicit formulae for certain commutative vertex operators associated with Iohara's realization of the level 1 \(DY(sl_n)\)-modules. As an application, we construct combinatorial bases for the corresponding principal subspaces and recover the classical character formulae. In the end, we discuss the underlying nonlocal vertex algebra theory %K Combinatorial basis %K double Yangian %K principal subspace %K quantum vertex algebra %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=297049