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

G. S. Mutafyan, B. L. Feigin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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 = q1mq2n.

Original languageEnglish
Pages (from-to)50-61
Number of pages12
JournalFunctional Analysis and its Applications
Volume47
Issue number1
DOIs
StatePublished - Mar 2013
Externally publishedYes

Keywords

  • plane partitions
  • representations of the Lie algebra gl(∞)
  • RSK algorithm

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