Representations of quantum toroidal gln

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

doi:https://doi.org/10.1016/j.jalgebra.2012.12.029

Representations of quantum toroidal gln

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

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

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.1016/j.jalgebra.2012.12.029

Cite this

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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.",

keywords = "Plane partitions, Quantum toroidal algebras, Representations, Weyl type modules",

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

year = "2013",

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day = "15",

doi = "https://doi.org/10.1016/j.jalgebra.2012.12.029",

language = "الإنجليزيّة",

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T1 - Representations of quantum toroidal gln

AU - Feigin, B.

AU - Jimbo, M.

AU - Miwa, T.

AU - Mukhin, E.

PY - 2013/4/15

Y1 - 2013/4/15

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.

AB - 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.

KW - Plane partitions

KW - Quantum toroidal algebras

KW - Representations

KW - Weyl type modules

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U2 - https://doi.org/10.1016/j.jalgebra.2012.12.029

DO - https://doi.org/10.1016/j.jalgebra.2012.12.029

M3 - مقالة

SN - 0021-8693

VL - 380

SP - 78

EP - 108

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Representations of quantum toroidal gln

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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