Home Online Manual
Back: makeUsp4
Forward: makeUg2
Up: ncalg_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document makeUsp5
Procedure from library ncalg.lib (see ncalg_lib).

makeUsp5([p]); p an optional integer (field characteristic)

a ring, describing U(sp_5)

You have to activate this ring with the 'setring' command. The presentation of U(sp_5) is derived from the Chevalley representation of sp_5, positive resp. negative roots are denoted by x(i) resp. y(i); Cartan elements are denoted by h(i).

LIB "ncalg.lib";
def ncAlgebra = makeUsp5();
==> // coefficients: QQ
==> // number of vars : 55
==> //        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) X(25) 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(2\
   2) Y(23) Y(24) Y(25) H(1) H(2) H(3) H(4) H(5)
==> //        block   2 : ordering C
==> // noncommutative relations: ...
setring ncAlgebra;
// ...  523  noncommutative relations
See also: makeUe6; makeUe7; makeUe8; makeUf4; makeUg2; makeUsl; makeUso5; makeUsp1.