engleski

Commutative operators for double Yangian DY(sl_n)

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.

Combinatorial basis ; double Yangian ; principal subspace ; quantum vertex algebra

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