期刊文献+

量子群的Grobner-Shirshov基与Ringel-Hall代数

Grobner-Shirshov Basis of Quantum Groups and Ringel-Hall Algebra
下载PDF
导出
摘要 用Ringel-Hall代数构造了A3型量子群正部分的一个Grbner-Shirshov基,这种方法将为有限维代数表示论给出一个新的应用空间. In this paper we will construct A Grbner-Shirshov basis for the positive part of quantum group of type A3 is contrasted by applying Ringel-Hall algebra.This approach will provide a new application for the representation theory of finite algebra.
出处 《天中学刊》 2010年第2期8-10,共3页 Journal of Tianzhong
关键词 RINGEL-HALL代数 不可分解模 同构类 Grobner-Shirshov基 合成 Ringel-hall algebra indecomposable module isomorphism classes Gr?bner-Shirshov basis composition
  • 相关文献

参考文献10

  • 1Buchberger B.An algorithm for finding a basis for the residue class ring of a zero-dimensional ideal[D].Ph.D.Thesis,University of Innsbruck,1965.
  • 2Bergman G M.The diamond lemma for ring theory[J].Adv.Math.,1978,29:178-218.
  • 3Shirshov A I.Some algorithmic problems for Liealgebra s[J].Siberian Math.J.,1962,3:292-296.
  • 4Bokut L A.Imbeddings into simple associative algebras[J].Algebra and Logic,1976,15:117-142.
  • 5Bokut L A,Malcolmson P.Groebner-Shirshov basis for quantum enveloping algebras[J].Israel J.Math,1996,96:97-113.
  • 6Ringel C M.PBW-bases of quantum groups[J].J.reine angew.Math.,1996,470:51-88.
  • 7Ringel C M.Hall algebras and quantum groups[J].Invent.math.,1990,101:583-592.
  • 8Drinfel'd V G.Hopf algebras and the quantum Yang-Baxter equation[J].Doklady Akademii Nauk SSSR,1985,283(5):1060-1064.
  • 9Jimbo M.A q-difference analogue of U(G) and the Yang-Baxter equation[J].Letters in Mathematical Physics,1985(1):63-69.
  • 10Rosso M.Finite dimensional representations of the quantum analogue of the enveloping algebra of a complex simple Lie algebra[J].Comm.Math.Phys.,1988,117:581-593.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部