Singular Manual: makeUsp1

| ##### 7.5.10.0. makeUsp1 Procedure from library `ncalg.lib` (see ncalg_lib). Usage: makeUsp1([p]); p an optional integer (field characteristic) Return: a ring, describing U(sp_1) Note: You have to activate this ring with the 'setring' command. The presentation of U(sp_1) is derived from the Chevalley representation of sp_1, positive resp. negative roots are denoted by x(i) resp. y(i); Cartan elements are denoted by h(i). Example:
    LIB "ncalg.lib";
    def ncAlgebra = makeUsp1();
    setring ncAlgebra;
    ncAlgebra;
    ==> // coefficients: QQ considered as a field
    ==> // number of vars : 3
    ==> //        block   1 : ordering dp
    ==> //                  : names    X(1) Y(1) H(1)
    ==> //        block   2 : ordering C
    ==> // noncommutative relations:
    ==> //    Y(1)X(1)=X(1)*Y(1)-H(1)
    ==> //    H(1)X(1)=X(1)*H(1)+2*X(1)
    ==> //    H(1)Y(1)=Y(1)*H(1)-2*Y(1)
See also: makeUe6; makeUe7; makeUe8; makeUf4; makeUg2; makeUsl; makeUso5.

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