<EM>L</EM><SUP>±</SUP> Operators and Quantum Enveloping Algebras

Xie Mi; Jin Baiqi; Ma Zhongqi

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2024年10月30日

Chinese Physics C> 1996, Vol. 20> Issue(7) : 617-624

L^± Operators and Quantum Enveloping Algebras

Graduate School, The Chinese Academy of Sciences, Beijing, 1000392 Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039

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Abstract：
The relations between L^± operators and the generators in the quantum enveloping algebras are studied.The L^±operators for U_qA_N and U_qG₂ algebras are explicitly expressed by the generators as examples.

References

[1]

V.G.Drinfel'd,Quantum Group,Proceedings of the International Congress of Mathematicians,Berkeley,1986,Vol.1,p.798.[2]M.Jimbo,Lett.Math.Phys.,10（1985）63 Commun.Math.Phys.,102（1986）537.[3]M.Jimbo,Nankai Lectureson Mathematical Physics,World Scientific,Singapore,1991,p.1.[4]Zhong-Qi Ma,Yang-Baxter Equation and Quantum Enveloping Algebras,World Scientific,Singapore,1993.[5]C.N.Yang,Phys.Rev.Lett.,19（1967）1312;R.J.Baxter,Ann.Phys.,70（1972）193.[6]E.Date,M.Jimbo,K.Miki et al.,Commun.Math.Phys.,138（1991）393.[7]M.Jimbo,T Miwa,Algebraic Analysis of Solvable Lattice Models,Conference Boaed of the Mathematical Sciences,Regional Confereare Seriesin Mathematics,No.85,1995.[8]T.Brzezinski,S.Majid,Commun.Math.Phys.,157（1993）591.[9]S.Watamura,Commun.Math.Phys.,158（1993）67.[10]Bo-Yu Hou,Bo-Yuan Hou,Zhong-Qi Ma,J.Phys.,A28（1995）543.[11]L.D.Faddeev,N.Y.Reshetikhin,L.A.Takhtajan,Quantization of Liegroupsac Liealgebras,in Algebraic Analysis,Academic Press,1988,p.129.[12]吴可，郭汉英，章人杰，高能物理，17（1993）262;吴可，郭汉英，高能物理与核物理，17（1993）796.[13]P.Schupp,P.Watts,B.Zumino,Commun.Math.Phys.,157（1993）305.

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Xie Mi, Jin Baiqi and Ma Zhongqi. L^± Operators and Quantum Enveloping Algebras[J]. Chinese Physics C, 1996, 20(7): 617-624.

Xie Mi, Jin Baiqi and Ma Zhongqi. L^± Operators and Quantum Enveloping Algebras[J]. Chinese Physics C, 1996, 20(7): 617-624. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

L^± Operators and Quantum Enveloping Algebras

Corresponding author: Xie Mi,

Graduate School, The Chinese Academy of Sciences, Beijing, 1000392 Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-07-05

Abstract: The relations between L^± operators and the generators in the quantum enveloping algebras are studied.The L^±operators for U_qA_N and U_qG₂ algebras are explicitly expressed by the generators as examples.