Characters of representations of the quantum toroidal algebra [InlineMediaObject not available: See fulltext.]: Plane partitions with "stands"

G. S. Mutafyan, B. L. Feigin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 [InlineMediaObject not available: see fulltext.], is obtained.

Original languageEnglish
Pages (from-to)36-48
Number of pages13
JournalFunctional Analysis and its Applications
Volume48
Issue number1
DOIs
StatePublished - Jan 2014
Externally publishedYes

Keywords

  • RSK algorithm
  • plane partitions
  • representations of the Lie algebra

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