In this paper we mainly discuss that SAGBI basis under composition of polynomials.Poly-nomial composition is the operation of replacing the variables of a polynomial with otherpolynomials.The main question of this pap...In this paper we mainly discuss that SAGBI basis under composition of polynomials.Poly-nomial composition is the operation of replacing the variables of a polynomial with otherpolynomials.The main question of this paper is:Does there exists a decision procedurethat will determine whetber a given composition commutes with SAGBI basis computationunder a given term ordering?We will give a better answer(using elementary rational rowtransformations of matrice).展开更多
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 ...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 GrSbner-Shirshov basis for quantum group of type D4.展开更多
文摘In this paper we mainly discuss that SAGBI basis under composition of polynomials.Poly-nomial composition is the operation of replacing the variables of a polynomial with otherpolynomials.The main question of this paper is:Does there exists a decision procedurethat will determine whetber a given composition commutes with SAGBI basis computationunder a given term ordering?We will give a better answer(using elementary rational rowtransformations of matrice).
基金Project supported by the Natural Science Foundation of Xinjiang University (the Starting Research Fund for Doctors) (No. BS080103)
文摘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 GrSbner-Shirshov basis for quantum group of type D4.
