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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
==> // 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)
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See also:
makeUe6;
makeUe7;
makeUe8;
makeUf4;
makeUg2;
makeUsl;
makeUso5.
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