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Статья

The quantum toroidal algebra gl1: Calculation of characters of some representations as generating functions of plane partitions

Functional Analysis and Its Applications. 2013. Vol. 47. No. 1. P. 50-61.
Feigin B. L., Mytafyan G. S.

The generating function of plane partitions {ai,j} subject to the constraint am,n = 0 is expressed and calculated as the character of an irreducible representation of the quantum toroidal algebra gl1 in the case K = q1 mq2 n.