B<sub>3</sub>型量子群的Gelfand-Kirillov维数

古丽沙旦木·玉奴斯; 阿不都卡的·吾甫; 孟吉翔

doi:10.13568/j.cnki.651094.2016.04.005

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B₃型量子群的Gelfand-Kirillov维数

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- B₃型量子群的Gelfand-Kirillov维数
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 33, Issue 4, Pages: 399-406(2016)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2016.04.005
  CLC： O152.5
- Published：2016
- 稿件说明：
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[1]古丽沙旦木·玉奴斯,阿不都卡的·吾甫,孟吉翔.B_3型量子群的Gelfand-Kirillov维数[J].新疆大学学报(自然科学版),2016,33(04):399-406.
[1]古丽沙旦木·玉奴斯,阿不都卡的·吾甫,孟吉翔.B_3型量子群的Gelfand-Kirillov维数[J].新疆大学学报(自然科学版),2016,33(04):399-406. DOI： 10.13568/j.cnki.651094.2016.04.005.

DOI：10.13568/j.cnki.651094.2016.04.005.

摘要

利用[1]中给出的计算方法及B3型量子群的Grobner-Shirshov基计算量子群Uq(B3)的GelfandKirillov维数GKdim(Uq(B3)).

Abstract

In this paper

by using the algorithm in[1]and Grobner-Shirshov basis for quantum group of type B3

we compute the Gelfand-Kirillov dimension of quantum group of type B3.

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references

Buese J,Gomez-Torrecillas J,Verschoren A.Algorithm Methods in Non-Commutative Algebra:Applications to the Quantum Groups(Mathematical Modelling:Theory and Applications)[M].Dordrecht:Kluwer Academic Publishers,2003.

Rosso M.Finite dimensional representation of the quantum analogue of the enveloping algebra of a complex simple Lie algebra[J].Coram Math Phys,1988,117:581-593.

Bokut L,Malcolmson P.Grobner-Shirshov basis for quantum enveloping algebras[J].Israel J Math,1996,96:97-113.

Guhe D.Hall polynomials for Dynkin quivers[D].Bielefeld:Universitat Bielefeld,2000.

Yunus G,ObulA.Grobner-Shirshov basis of quantum groups[J].Algebra Colloquium,2015,22(3):495-516.

Torrecillas J G.Gelfand-Kirillov dimension of Multi-Filtered Algebras[J].Proc Edinburgh Math,1999,52:155-168.

Krause G R,Lenagan T H.Growth of Algebras and Gelfand-Kirillov dimension[M].London:Longman Scientific and Technical,Essex,1985.

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B3型量子群的Gelfand-Kirillov维数

DOI：10.13568/j.cnki.651094.2016.04.005

摘要

Abstract

关键词

Keywords

references

B₃型量子群的Gelfand-Kirillov维数