Singular Manual: makeUf4

| ##### 7.7.11.0. makeUf4 Procedure from library `ncalg.lib` (see ncalg_lib). Usage: makeUf4([p]); p an optional integer (field characteristic) Return: a ring, describing U(f_4) Note: You have to activate this ring with the 'setring' command. The presentation of U(f_4) is derived from the Chevalley representation of f_4, 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 = makeUf4();
    ncAlgebra;
    ==> //   characteristic : 0
    ==> //   number of vars : 52
    ==> //        block   1 : ordering dp
    ==> //                  : names    X(1) X(2) X(3) X(4) X(5) X(6) X(7) X(8) X(\
       9) X(10) X(11) X(12) X(13) X(14) X(15) X(16) X(17) X(18) X(19) X(20) X(21\
       ) X(22) X(23) X(24) Y(1) Y(2) Y(3) Y(4) Y(5) Y(6) Y(7) Y(8) Y(9) Y(10) Y(\
       11) Y(12) Y(13) Y(14) Y(15) Y(16) Y(17) Y(18) Y(19) Y(20) Y(21) Y(22) Y(2\
       3) Y(24) H(1) H(2) H(3) H(4)
    ==> //        block   2 : ordering C
    ==> //   noncommutative relations: ...
    setring ncAlgebra;
    // ...  552  noncommutative relations
See also: makeUe6; makeUe7; makeUe8; makeUg2; makeUsl; makeUso5; makeUsp1.

User manual for Singular version 4-0-2, 2015, generated by texi2html.