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

University of Cincinnati
Alikhanov Institute for Theoretical and Experimental Physics

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 Serre relation
Quantum affine algebra
Universal R-matrix

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10.1016/j.aim.2003.11.013

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@article{e791bbfb20e547a6a1a0b2b4811b1c78,

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 Serre relation, Quantum affine algebra, Universal R-matrix",

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

year = "2004",

month = dec,

day = "20",

doi = "10.1016/j.aim.2003.11.013",

language = "English",

volume = "189",

pages = "413--438",

journal = "Advances in Mathematics",

issn = "0001-8708",

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T1 - Universal ℛ-matrix for quantum affine algebras Uq(A2(2)) and Uq(osp(1 2)) with Drinfeld comultiplication

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 Serre relation

KW - Quantum affine algebra

KW - Universal R-matrix

UR - https://www.scopus.com/pages/publications/4344682471

U2 - 10.1016/j.aim.2003.11.013

DO - 10.1016/j.aim.2003.11.013

M3 - Article

AN - SCOPUS:4344682471

SN - 0001-8708

VL - 189

SP - 413

EP - 438

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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