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| Gr\"{o}bner-Shirshov Basis of Quantum Group of Type $\mathbb{D}_4$ |
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Citation： |
Gulshadam YUNUS,Abdukadir OBUL.Gr\"{o}bner-Shirshov Basis of Quantum Group of Type $\mathbb{D}_4$[J].Chinese Annals of Mathematics B,2011,32(4):581~592 |
| Page view： 1975
Net amount： 1630 |
Authors： |
Gulshadam YUNUS; Abdukadir OBUL; |
Foundation： |
the Natural Science Foundation of Xinjiang University (the Starting Research
Fund for Doctors) (No.BS080103). |
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| Abstract： |
The authors take all isomorphism classes of indecomposable representations as
new generators, and obtain all skew-commutators between these generators by using the
Ringel-Hall algebra method. Then they prove that the set of these skew-commutators is a
Gr¨obner-Shirshov basis for quantum group of type D4. |
Keywords： |
Ringel-Hall algebra, Indecomposable modules, Gr¨obner-Shirshov basis,
Compositions |
Classification： |
16S15, 13P10, 17B37 |
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