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About: About this document makeUso8
Procedure from library ncalg.lib (see ncalg_lib).

makeUso8([p]); p an optional integer (field characteristic)

a ring, describing U(so_8)

You have to activate this ring with the 'setring' command. The presentation of U(so_8) is derived from the Chevalley representation of so_8, positive resp. negative roots are denoted by x(i) resp. y(i); Cartan elements are denoted by h(i).

LIB "ncalg.lib";
def ncAlgebra = makeUso8();
==> //   characteristic : 0
==> //   number of vars : 28
==> //        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) Y(1) Y(2) Y(3) Y(4) Y(5) Y(6) Y(7) Y(8) Y(9) Y(10) Y\
   (11) Y(12) H(1) H(2) H(3) H(4)
==> //        block   2 : ordering C
==> //   noncommutative relations: ...
setring ncAlgebra;
// ...  180  noncommutative relations
See also: makeUe6; makeUe7; makeUe8; makeUf4; makeUg2; makeUsl; makeUso5; makeUsp1.