A型退化仿射Hecke代数的Gröbner-Shirshov基

doi:10.6040/j.issn.1671-9352.0.2018.363

《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (2): 106-110.doi: 10.6040/j.issn.1671-9352.0.2018.363

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A型退化仿射Hecke代数的Gröbner-Shirshov基

木娜依木·迪里夏提,阿布都卡的·吾甫^*

新疆大学数学与系统科学学院, 新疆乌鲁木齐 830046

发布日期:2019-02-25
作者简介:木娜依木·迪里夏提(1993— ),女,硕士研究生,研究方向为量子群和Gröbner-Shirshov基理论. E-mail:18396830969@163.com*通信作者简介:阿布都卡的·吾甫(1963— ),男,博士,教授,研究方向为量子群和Gröbner-Shirshov基理论. E-mail:abdu@vip.sina.com
基金资助:
国家自然科学基金资助项目(11361056)

Gröbner-Shirshov basis of degenerate affine Hecke algebras of type A

Munayim Dilxat, Abdukadir Obul^*

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjiang, China

Published:2019-02-25

摘要/Abstract

摘要： 给出了A型退化仿射Hecke代数的Gröbner-Shirshov基,并且用此Gröbner-Shirshov基和结合代数的钻石合成引理,给出A型退化仿射Hecke代数的一组线性基。

关键词: Grö, bner-Shirshov基, 合成运算, A型退化仿射 Hecke代数

Abstract: A Gröbner-Shirshov basis of degenerate affine Hecke algebra of type A is given. By using this Gröbner-Shirshov basis and the composition-diamond lemma of associative algebras, a linear basis of the degenerate affine Hecke algebra of type A is constructed.

Key words: Grö, bner-Shirshov basis, compositions, degenerate affine Hecke algebra of type A

中图分类号:

O153.3

木娜依木·迪里夏提,阿布都卡的·吾甫. A型退化仿射Hecke代数的Gröbner-Shirshov基[J]. 《山东大学学报(理学版)》, 2019, 54(2): 106-110.

Munayim Dilxat, Abdukadir Obul. Gröbner-Shirshov basis of degenerate affine Hecke algebras of type A[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(2): 106-110.

参考文献

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A型退化仿射Hecke代数的Gröbner-Shirshov基

Gröbner-Shirshov basis of degenerate affine Hecke algebras of type A

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[1]	热比古丽·吐尼亚孜, 阿布都卡的·吾甫. 量子包络代数U_q(A_n)的Gelfand-Kirillov维数[J]. 山东大学学报（理学版）, 2017, 52(10): 12-17.
[2]	高珍珍, 杨士林, 阿布都卡的·吾甫. Anick分解和量子群U_q(sl₂)的一些同调性质[J]. 山东大学学报（理学版）, 2014, 49(10): 17-27.