Glasnik Matematicki, Vol. 53, No. 1 (2018), 97-113.

COMMUTATIVE OPERATORS FOR DOUBLE YANGIAN DY()

Slaven Kožić

Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia
e-mail: kslaven@math.hr

Abstract.   We derive explicit formulae for certain commutative vertex operators associated with Iohara's realization of the level 1 DY()-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.

2010 Mathematics Subject Classification.   17B37, 17B69.

Key words and phrases.   Combinatorial basis, double Yangian, principal subspace, quantum vertex algebra.


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DOI: 10.3336/gm.53.1.07


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