Isomorphism of two realizations of quantum affine algebra {Mathematical expression}

Jintai Ding; Igor B. Frenkel

doi:10.1007/BF02098484

Isomorphism of two realizations of quantum affine algebra {Mathematical expression}

Jintai Ding^*, Igor B. Frenkel

^*Corresponding author for this work

Yale University

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

173 Citations (Scopus)

Abstract

We establish an explicit isomorphism between two realizations of the quantum affine algebra {Mathematical expression} given previously by Drinfeld and Reshetikhin-Semenov-Tian-Shansky. Our result can be considered as an affine version of the isomorphism between the Drinfield/Jimbo and the Faddeev-Reshetikhin-Takhtajan constructions of the quantum algebra {Mathematical expression}.

Original language	English
Pages (from-to)	277-300
Number of pages	24
Journal	Communications in Mathematical Physics
Volume	156
Issue number	2
DOIs	https://doi.org/10.1007/BF02098484
Publication status	Published - Sept 1993
Externally published	Yes

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title = "Isomorphism of two realizations of quantum affine algebra {Mathematical expression}",

abstract = "We establish an explicit isomorphism between two realizations of the quantum affine algebra {Mathematical expression} given previously by Drinfeld and Reshetikhin-Semenov-Tian-Shansky. Our result can be considered as an affine version of the isomorphism between the Drinfield/Jimbo and the Faddeev-Reshetikhin-Takhtajan constructions of the quantum algebra {Mathematical expression}.",

author = "Jintai Ding and Frenkel, {Igor B.}",

year = "1993",

month = sep,

doi = "10.1007/BF02098484",

language = "English",

volume = "156",

pages = "277--300",

journal = "Communications in Mathematical Physics",

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AU - Ding, Jintai

AU - Frenkel, Igor B.

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N2 - We establish an explicit isomorphism between two realizations of the quantum affine algebra {Mathematical expression} given previously by Drinfeld and Reshetikhin-Semenov-Tian-Shansky. Our result can be considered as an affine version of the isomorphism between the Drinfield/Jimbo and the Faddeev-Reshetikhin-Takhtajan constructions of the quantum algebra {Mathematical expression}.

AB - We establish an explicit isomorphism between two realizations of the quantum affine algebra {Mathematical expression} given previously by Drinfeld and Reshetikhin-Semenov-Tian-Shansky. Our result can be considered as an affine version of the isomorphism between the Drinfield/Jimbo and the Faddeev-Reshetikhin-Takhtajan constructions of the quantum algebra {Mathematical expression}.

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U2 - 10.1007/BF02098484

DO - 10.1007/BF02098484

M3 - Article

AN - SCOPUS:34250078237

SN - 0010-3616

VL - 156

SP - 277

EP - 300

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Isomorphism of two realizations of quantum affine algebra {Mathematical expression}

Abstract

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