GRÖBNER-SHIRSHOV BASES FOR COXETER GROUPS

Author:

Bokut* L. A.1,Shiao L.-S.2

Affiliation:

1. a Sobolev Institute of Mathematics , Novosibirsk , 630090 , Russia

2. b Chang Jung Christian University , Kway Jen, Tainan , 711 , Taiwan

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Cited by 31 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Arf numerical semigroups with high multiplicity via Gröbner basis;Applied Mathematics in Science and Engineering;2023-09-14

2. Rigid Reflections of Rank 3 Coxeter Groups and Reduced Roots of Rank 2 Kac–Moody Algebras;Algebras and Representation Theory;2022-06-18

3. Gröbner-Shirshov basis and normal forms for the infinite Coxeter group of type $\widetilde{C}_n$;Advanced Studies: Euro-Tbilisi Mathematical Journal;2022-06-01

4. A weak version of Kirillov's conjecture on Hecke–Grothendieck polynomials;Journal of Combinatorial Theory, Series A;2022-02

5. A diamond lemma for Hecke-type algebras;Transactions of the American Mathematical Society;2021-12-02

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