Weyl group extension of quantized current algebras

J. Ding; S. Khoroshkin

doi:10.1007/BF01237177

Weyl group extension of quantized current algebras

J. Ding^*, S. Khoroshkin

^*Corresponding author for this work

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

24 Citations (Scopus)

Abstract

In this paper, we extend Drinfeld's current realization of quantum affine algebras U_q(ĝ) and of the Yangians in several directions: we construct current operators for non-simple roots of g, define a new braid group action in terms of the current operators, and describe the universal R-matrix for the corresponding "Drinfeld" comultiplication in the forms of an infinite product and of certain integrals over current operators.

Original language	English
Pages (from-to)	35-59
Number of pages	25
Journal	Transformation Groups
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF01237177
Publication status	Published - 2000
Externally published	Yes

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10.1007/BF01237177

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title = "Weyl group extension of quantized current algebras",

abstract = "In this paper, we extend Drinfeld's current realization of quantum affine algebras Uq(ĝ) and of the Yangians in several directions: we construct current operators for non-simple roots of g, define a new braid group action in terms of the current operators, and describe the universal R-matrix for the corresponding {"}Drinfeld{"} comultiplication in the forms of an infinite product and of certain integrals over current operators.",

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AU - Ding, J.

AU - Khoroshkin, S.

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AB - In this paper, we extend Drinfeld's current realization of quantum affine algebras Uq(ĝ) and of the Yangians in several directions: we construct current operators for non-simple roots of g, define a new braid group action in terms of the current operators, and describe the universal R-matrix for the corresponding "Drinfeld" comultiplication in the forms of an infinite product and of certain integrals over current operators.

UR - https://www.scopus.com/pages/publications/0034360556

U2 - 10.1007/BF01237177

DO - 10.1007/BF01237177

M3 - Article

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SN - 1083-4362

VL - 5

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EP - 59

JO - Transformation Groups

JF - Transformation Groups

IS - 1

ER -

Weyl group extension of quantized current algebras

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