Singular Manual: makeUso10

7.5.10.0. makeUso10

Procedure from library ncalg.lib (see ncalg_lib).

Usage:: makeUso10([p]); p an optional integer (field characteristic)
Return:: a ring, describing U(so_{10})
Note:: You have to activate this ring with the 'setring' command. The presentation of U(so_{10}) is derived from the Chevalley representation of so_{10}, 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 = makeUso10();
ncAlgebra;
==> // coefficients: QQ considered as a field
==> // number of vars : 45
==> //        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) 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) H(1) H(2) H(3) H(4) H(5)
==> //        block   2 : ordering C
==> // noncommutative relations: ...
setring ncAlgebra;
// ...  390  noncommutative relations

See also: makeUe6; makeUe7; makeUe8; makeUf4; makeUg2; makeUsl; makeUso5; makeUsp1.

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