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

G. S. Mutafyan; B. L. Feigin

doi:10.1007/s10688-014-0044-1

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

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

Original language	English
Pages (from-to)	36-48
Number of pages	13
Journal	Functional Analysis and its Applications
Volume	48
Issue number	1
DOIs	https://doi.org/10.1007/s10688-014-0044-1
State	Published - Jan 2014
Externally published	Yes

Keywords

RSK algorithm
plane partitions
representations of the Lie algebra

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/s10688-014-0044-1

Cite this

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KW - RSK algorithm

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KW - representations of the Lie algebra

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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