Quantum toroidal gl1-algebra: Plane partitions

B. Feigin; M. Jimbo; T. Miwa; E. Mukhin

doi:10.1215/21562261-1625217

Quantum toroidal gl1-algebra: Plane partitions

B. Feigin
, M. Jimbo
, T. Miwa
, E. Mukhin

Research output: Contribution to journal › Article › peer-review

Abstract

In this, the third paper of the series, we construct a large family of representations of the quantum toroidal gl1-algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions.We study the corresponding formal characters. As an application we obtain a Gelfand-Zetlin-type basis for a class of irreducible lowest weight gl-modules.

Original language	English
Pages (from-to)	621-659
Number of pages	39
Journal	Kyoto Journal of Mathematics
Volume	52
Issue number	3
DOIs	https://doi.org/10.1215/21562261-1625217
State	Published - Sep 2012
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Quantum toroidal gl1-algebra: Plane partitions",

abstract = "In this, the third paper of the series, we construct a large family of representations of the quantum toroidal gl1-algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions.We study the corresponding formal characters. As an application we obtain a Gelfand-Zetlin-type basis for a class of irreducible lowest weight gl-modules.",

author = "B. Feigin and M. Jimbo and T. Miwa and E. Mukhin",

year = "2012",

month = sep,

doi = "10.1215/21562261-1625217",

language = "الإنجليزيّة",

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pages = "621--659",

journal = "Kyoto Journal of Mathematics",

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T1 - Quantum toroidal gl1-algebra

T2 - Plane partitions

AU - Feigin, B.

AU - Jimbo, M.

AU - Miwa, T.

AU - Mukhin, E.

PY - 2012/9

Y1 - 2012/9

N2 - In this, the third paper of the series, we construct a large family of representations of the quantum toroidal gl1-algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions.We study the corresponding formal characters. As an application we obtain a Gelfand-Zetlin-type basis for a class of irreducible lowest weight gl-modules.

AB - In this, the third paper of the series, we construct a large family of representations of the quantum toroidal gl1-algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions.We study the corresponding formal characters. As an application we obtain a Gelfand-Zetlin-type basis for a class of irreducible lowest weight gl-modules.

UR - https://www.scopus.com/pages/publications/84874856218

U2 - 10.1215/21562261-1625217

DO - 10.1215/21562261-1625217

M3 - مقالة

SN - 2156-2261

VL - 52

SP - 621

EP - 659

JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

IS - 3

ER -

Quantum toroidal gl1-algebra: Plane partitions

Abstract

ASJC Scopus subject areas

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