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Characters of representations of the quantum toroidal algebra : Plane partitions with “stands”

G. S. Mutafyan,B. L. Feigin

Functional Analysis and Its Applications（2014）

Cited 3|Views2
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Abstract
An expression for the generating function of plane partitions a i,j subject to the constraints a m,n = 0 and a i,j ⩾ k j , 1 ⩽ j ⩽ n , which is the character of an irreducible representation of the quantum toroidal algebra , is obtained.
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Key words
plane partitions, RSK algorithm, representations of the Lie algebra
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