Representations of quantum toroidal gln

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

doi:10.1016/j.jalgebra.2012.12.029

Representations of quantum toroidal gln

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

^*Corresponding author for this work

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

50 Scopus citations

Abstract

We define and study representations of quantum toroidal gln with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit description of a family of highest weight representations of quantum affine gln with generic level.

Original language	English
Pages (from-to)	78-108
Number of pages	31
Journal	Journal of Algebra
Volume	380
DOIs	https://doi.org/10.1016/j.jalgebra.2012.12.029
State	Published - 15 Apr 2013
Externally published	Yes

Keywords

Plane partitions
Quantum toroidal algebras
Representations
Weyl type modules

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10.1016/j.jalgebra.2012.12.029

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title = "Representations of quantum toroidal gln",

abstract = "We define and study representations of quantum toroidal gln with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit description of a family of highest weight representations of quantum affine gln with generic level.",

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

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AU - Jimbo, M.

AU - Miwa, T.

AU - Mukhin, E.

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N2 - We define and study representations of quantum toroidal gln with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit description of a family of highest weight representations of quantum affine gln with generic level.

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KW - Plane partitions

KW - Quantum toroidal algebras

KW - Representations

KW - Weyl type modules

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JO - Journal of Algebra

JF - Journal of Algebra

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Representations of quantum toroidal gln

Abstract

Keywords

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