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

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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

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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

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Received: 1998-01-04
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

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).