Universal ℛ-matrix for quantum affine algebras Uq(A2(2)) and Uq(osp(1 2)) with Drinfeld comultiplication

Jintai Ding; Sergey M. Khoroshkin

doi:10.1016/j.aim.2003.11.013

Universal ℛ-matrix for quantum affine algebras U_q(A₂⁽²⁾) and U_q(osp(1 2)) with Drinfeld comultiplication

Jintai Ding^*, Sergey M. Khoroshkin

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We derive an integral formula for the universal R-matrix for the twisted quantum affine algebra U_q(A₂⁽²⁾) and quantum affine superalgebra U_q(osp(1 2)) with Drinfeld comultiplication.

Original language	English
Pages (from-to)	413-438
Number of pages	26
Journal	Advances in Mathematics
Volume	189
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2003.11.013
Publication status	Published - 20 Dec 2004
Externally published	Yes

Keywords

Loop realization
Quantum affine algebra
Quantum Serre relation
Universal R-matrix

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Ding, J., & Khoroshkin, S. M. (2004). Universal ℛ-matrix for quantum affine algebras U_q(A₂⁽²⁾) and U_q(osp(1 2)) with Drinfeld comultiplication. Advances in Mathematics, 189(2), 413-438. https://doi.org/10.1016/j.aim.2003.11.013

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title = "Universal ℛ-matrix for quantum affine algebras Uq(A2(2)) and Uq(osp(1 2)) with Drinfeld comultiplication",

abstract = "We derive an integral formula for the universal R-matrix for the twisted quantum affine algebra Uq(A2(2)) and quantum affine superalgebra Uq(osp(1 2)) with Drinfeld comultiplication.",

keywords = "Loop realization, Quantum affine algebra, Quantum Serre relation, Universal R-matrix",

author = "Jintai Ding and Khoroshkin, {Sergey M.}",

year = "2004",

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AU - Ding, Jintai

AU - Khoroshkin, Sergey M.

PY - 2004/12/20

Y1 - 2004/12/20

N2 - We derive an integral formula for the universal R-matrix for the twisted quantum affine algebra Uq(A2(2)) and quantum affine superalgebra Uq(osp(1 2)) with Drinfeld comultiplication.

AB - We derive an integral formula for the universal R-matrix for the twisted quantum affine algebra Uq(A2(2)) and quantum affine superalgebra Uq(osp(1 2)) with Drinfeld comultiplication.

KW - Loop realization

KW - Quantum affine algebra

KW - Quantum Serre relation

KW - Universal R-matrix

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U2 - 10.1016/j.aim.2003.11.013

DO - 10.1016/j.aim.2003.11.013

M3 - Article

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JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 2

ER -

Universal ℛ-matrix for quantum affine algebras U_q(A₂⁽²⁾) and U_q(osp(1 2)) with Drinfeld comultiplication

Abstract

Keywords

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