Original scientific paper

https://doi.org/10.3336/gm.53.1.07

Commutative operators for double Yangian \(DY(sl_n)\)

Slaven Kožić orcid.org/0000-0003-2276-3271 ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia

Abstract

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.

Keywords

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

Hrčak ID:

201814

URI

https://hrcak.srce.hr/201814

Publication date:

20.6.2018.

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