JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (2): 106-110.doi: 10.6040/j.issn.1671-9352.0.2018.363

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

Munayim Dilxat, Abdukadir Obul*   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjiang, China
  • Published:2019-02-25

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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

CLC Number: 

  • O153.3
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[1] . Gelfand-Krillov dimension of quantized enveloping algebra Uq(An) [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 12-17.
[2] GAO Zhen-zhen, YANG Shi-lin, OBUL Abdukadir. Anick resolution and some homological properties of quantum group Uq(sl2) [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(10): 17-27.
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