Drinfeld Currents of Dynamical Elliptic Algebra A<SUB>q,p,π</SUB>(gl<SUB>n</SUB>)

HOU BoYu; FAN Heng; YANG WenLi; CAO JunPeng

Chinese Physics C> 2000, Vol. 24> Issue(2) : 98-105

Drinfeld Currents of Dynamical Elliptic Algebra A_q,p,π(gl_n)

Institute of Modern Physics, Northwest University, Xi'an 710069, China

Abstract
HTML
Reference
Related

PDF

Abstract：
From the generalized Yang-Baxter relations RLL=LLR^*,where R and R^* are the dynamical R matrix of A⁽¹⁾_n-1 type face model with the elliptic module shifted by the center of the algebra, using the Ding-Frenkel correspondence, we obtain the Drinfeld currents of algebra A_q,p,π(gl_n).

References

[1]

. Drinfeld V G .Sov .Mayh.Dokl.,1985,32 :254 2. Jimbo M .Lett.Math .Phys.,1985,10 :63;Lett.Math .Phys.,1986,11:24 7;Comm.Math,Phys.,1986,102 :537 3. Faddeev L D ,Reshetikhin N ,Takhtajan L A .Algebra and Analysis,1989,1:1184. Reshetikhin N ,Semenov-Tian-Shansky M A .Lett.Math .Phys.,1990,19:1135. Ding J,Frenkel I B .Comm .Math .Phys.,1993,155:277 6. Foda O ,Iohara K ,Jimbo M et al.Lett.Math.Phys.,1994 ,32:259;Prog .Theor.Phys.Suppl.,1995,118:1 7. HOU B Y ,YANG W L .Dynamical T wisted Algebra A q,p,^π( g↑n)as Current Algebra Generalizing Screening Currents of q–Deformed Virasoro Algebra ,IMPNWU–97090118. Asai Y ,Jimbo M ,Miwa T et al.J.Phys.A .Gen.,1996 ,29:6595

[1]	TIAN Yu . Drinfeld-Manin instanton and its noncommutative generalization. Chinese Physics C, 2010, 34(10): 1556-1564. doi: 10.1088/1674-1137/34/10/002
[2]	A.K.Chaudhuri . Viscous Fluid Dynamics. Chinese Physics C, 2007, 31(12): 1157-1161.
[3]	CHEN Lie-Wen , Che Ming . A Dynamical Quark Coalescence Approach to φ and Ω Anisotropic Flows and Their Scaling in Heavy-Ion Collisions at RHIC. Chinese Physics C, 2007, 31(12): 1149-1152.
[4]	N.Borghini . Using the Anisotropic-Flow Harmonics v₂ and v₄ to Test Dynamical Descriptions of Ultrarelativistic Heavy-Ion Collisions. Chinese Physics C, 2007, 31(12): 1153-1156.
[5]	ZHAI Ji-Yuan , TANG Chuan-Xiang , ZHENG Shu-Xin . Experimental Study on the Beam Dynamics of Micro-Pulse Electron Gun. Chinese Physics C, 2006, 30(S1): 99-101.
[6]	CHEN Yong , HUANG Wen-Hui , TANG Chuan-Xiang . Dynamics Study of the Rhodotron Accelerator. Chinese Physics C, 2005, 29(2): 180-185.
[7]	FENG Zhao-Qing , JIN Gen-Ming , ZHANG Feng-Shou , FU Fen , HUANG Xi . Dynamical Study on Fusion Mechanism near Coulomb Barrier. Chinese Physics C, 2005, 29(12): 1157-1161.
[8]	LI Yong-Jun , WANG Lin , FENG Guang-Yao , XU Hong-Liang , LI Wei-Min , LIU Zu-Ping . Study of Insertion Device's Influence on Nonlinear Beam Dynamics in Electron Storage Ring Using Lie Algebra. Chinese Physics C, 2003, 27(9): 819-823.
[9]	ZHANG Ying-Xun , WU Xi-Zhen , LI Zhu-Xia . Dynamical Behaviors of Liquid-Gas Phase Transition in Nuclei. Chinese Physics C, 2002, 26(10): 1065-1071.
[10]	ZENG XiangHua , ZHANG FengShou , LUO YiXiao . Study on the Decay Dynamics of Hot Nuclei. Chinese Physics C, 2000, 24(6): 535-540.
[11]	Yue Chongxing , Yang Zhengtao , Huang Jinshu , Lu Gongru . Technicolor Dynamics Corrections to Wtb Coupling. Chinese Physics C, 1998, 22(6): 499-506.
[12]	Liu Jianye , Zhang Shaoguang . Dynamical Study on Processes of Intermediate-Energy Heavy Ion Collisions. Chinese Physics C, 1995, 19(1): 53-58.
[13]	ZUO Wei , WANG Shun-Jin . Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder. Chinese Physics C, 1993, 17(2): 179-185.
[14]	LING Yin-Sheng . The Algebraic Method to Solve the Fission F-P Equation. Chinese Physics C, 1992, 16(8): 743-748.
[15]	KONG Fan-Xin , LUO Bin , LIU Xian-Hui . Dynamical Structure of A≤4 Λ Hypernuclei. Chinese Physics C, 1991, 15(6): 524-534.
[16]	BIAN Jian-Guo . Non-Perturbative Propagators in QCD. Chinese Physics C, 1991, 15(11): 973-980.
[17]	ZHANG Feng-Shou , GE Ling-Xiao . HEAVY ION COLLISION DYNAMICS IN FERMI DOMAIN (I) DYNAMICS DEPENDENCE OF ENERGY. Chinese Physics C, 1990, 14(6): 561-568.
[18]	SHEN Wen-Qing , QIAO Wei-Min , GE Ling-Xiao , ZHAN Wen-Long , ZHU Yong-Tai . DYNAMICS OF DISSIPATION COLLISION FOR LIGHT SYSTEM. Chinese Physics C, 1988, 12(1): 102-108.
[19]	HE GUO-ZHU . NUCLEAR CHARGE DYNAMICS AND NUCLEAR POTENTIALS. Chinese Physics C, 1981, 5(2): 227-231.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

HOU BoYu, FAN Heng, YANG WenLi and CAO JunPeng. Drinfeld Currents of Dynamical Elliptic Algebra A_q,p,π(gl_n)[J]. Chinese Physics C, 2000, 24(2): 98-105.

HOU BoYu, FAN Heng, YANG WenLi and CAO JunPeng. Drinfeld Currents of Dynamical Elliptic Algebra A_q,p,π(gl_n)[J]. Chinese Physics C, 2000, 24(2): 98-105. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1998-01-04
Revised: 1900-01-01

Article Metric

Article Views(2578)
PDF Downloads(536)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Drinfeld Currents of Dynamical Elliptic Algebra A_q,p,π(gl_n)

Corresponding author: HOU BoYu,

Institute of Modern Physics, Northwest University, Xi'an 710069, China

Received Date: 1998-01-04
Accepted Date: 1900-01-01
Available Online: 2000-02-05

Abstract: From the generalized Yang-Baxter relations RLL=LLR^*,where R and R^* are the dynamical R matrix of A⁽¹⁾_n-1 type face model with the elliptic module shifted by the center of the algebra, using the Ding-Frenkel correspondence, we obtain the Drinfeld currents of algebra A_q,p,π(gl_n).