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Grobner-Shirshov Basis of Quantum Groups 被引量:5
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作者 Gulshadam Yunus Zhenzhen Gao Abdukadir Obul 《Algebra Colloquium》 SCIE CSCD 2015年第3期495-516,共22页
In this paper, by using the Ringel-Hall algebra method, we prove that the set of the skew-commutator relations of quantum root vectors forms a minimal GrSbner- Shirshov basis for the quantum groups of Dynkin type. As ... In this paper, by using the Ringel-Hall algebra method, we prove that the set of the skew-commutator relations of quantum root vectors forms a minimal GrSbner- Shirshov basis for the quantum groups of Dynkin type. As an application, we give an explicit basis for the types E7 and Dn. 展开更多
关键词 Ringel-Hall algebra indecomposable modules Gr6bner-Shirshov basis skew-commutator relations
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Grobner-Shirshov Basis of Twisted Generic Composition Algebras of Affine Type 被引量:1
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作者 Gulshadam Yunus Abdukadir Obul 《Algebra Colloquium》 SCIE CSCD 2017年第1期109-122,共14页
In this paper, by using PBW bases for the twisted generic composition algebras of affine type, we prove that the set of the skew-commutator relations of the iso-classes of indecomposable representations forms a minima... In this paper, by using PBW bases for the twisted generic composition algebras of affine type, we prove that the set of the skew-commutator relations of the iso-classes of indecomposable representations forms a minimal GrSbner-Shirshov basis for the twisted generic composition algebras of affine type. 展开更多
关键词 Ringel-Hall algebra indecomposable modules Grobner-Shirshov basis skew-commutator relations
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