THE SERRE RELATIONS IN RINGEL-HALL ALGEBRAS 被引量：1

THE SERRE RELATIONS IN RINGEL-HALL ALGEBRAS

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摘要 The author constructs the Casimir element of Hall algebras. By the method of Gabber-Kac theorem (see [4]), it is proved that the Serre relations are the defining relations in composition algebra.

作者 ABDUKADER OBUL

机构地区 Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第3期349-360,共12页 数学年刊（B辑英文版）

关键词 Hall algebra Composition algebra Casimir element RELATION Ringel-Hall代数 Serre关系 Casimir元 Gabber-Kac定理结合代数 Hopf代数模

分类号 O152.5 [理学—基础数学]

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参考文献10

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引证文献1

1Yanxin WANG,Jie XIAO.The Double Ringel-Hall Algebras of Valued Quivers[J].Chinese Annals of Mathematics,Series B,2006,27(6):701-722. 被引量：1

二级引证文献1

1邓邦明,阿布都卡的-吾甫,庞雅丽.带自同构箭图在有限域上的表示[J].中国科学：数学,2017,47(11):1525-1544.

1Zhenzhen GAO,Shilin YANG,Abdukadir OBUL.Grobner-Shirshov Basis for Degenerate Ringel-Hall Algebra of Type C_(3)[J].Journal of Mathematical Research with Applications,2016,36(4):441-449.
2于祖荣.量子Lie超代数SL_q(2/1)的不可约表示[J].高能物理与核物理,1992,16(11):1035-1042.
3Zhenzhen GAO,Abdukadir OBUL.Grbner-Shirshov Basis for Degenerate Ringel-Hall Algebras of Type F_4[J].Chinese Annals of Mathematics,Series B,2016,37(2):199-210.
4Yanxin WANG,Jie XIAO.The Double Ringel-Hall Algebras of Valued Quivers[J].Chinese Annals of Mathematics,Series B,2006,27(6):701-722. 被引量：1
5常青.CUMULATING CENTRAL POLYNOMIALS AND IDENTITIES FOR Mn (Fp)[J].Chinese Annals of Mathematics,Series B,1990,11(3):346-348.
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7Zheng-xin CHEN & Ya-nan LIN School of Mathematics and Computer Science, Pujian Normal University, Fuzhou 350007, China,School of Mathematical Sciences, Xiamen University, Xiamen 361005, China.Tubular algebras and affine Kac-Moody algebras[J].Science China Mathematics,2007,50(4):521-532. 被引量：2
8雍稳安.EXPLICIT DISSIPATIVE SCHEMES FOR BOUNDARY PROBLEMS OF GENERALIZED SCHRDINGER SYSTEMS[J].Acta Mathematicae Applicatae Sinica,1991,7(2):173-186.
9LIN Jin Kun Department of Mathematics. Nankai University. Tianjin 300071. P. R. China.New Families in the Stable Homotopy of Spheres Revisited[J].Acta Mathematica Sinica,English Series,2002,18(1):95-106. 被引量：12
10郑建华.ON THE 2ND POWER OF PRIME MEROMOPRHIC FUNCTIONS[J].Chinese Annals of Mathematics,Series B,1989,10(4):441-447.

Chinese Annals of Mathematics,Series B

2002年第3期

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THE SERRE RELATIONS IN RINGEL-HALL ALGEBRAS 被引量：1

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