Home Online Manual
Top
Back: makeQsl3
Forward: GKZsystem
FastBack:
FastForward:
Up: ncalg_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document
7.5.10.0. Qso3Casimir
Procedure from library ncalg.lib (see ncalg_lib).

Usage:
Qso3Casimir(n [,m]), n an integer, m an optional integer

Return:
list (of polynomials)

Purpose:
compute the Casimir (central) elements of U_q(so_3) for the quantum parameter specialized at the n-th root of unity; if m!=0 is given, polynomials will be normalized

Assume:
the basering must be U_q(so_3)

Example:
 
LIB "ncalg.lib";
def R = makeQso3(5);
setring R;
list C = Qso3Casimir(5);
C;
==> [1]:
==>    1/5*x5+(1/5Q3-1/5Q2+2/5)*x3+(1/5Q3-1/5Q2+1/5)*x
==> [2]:
==>    1/5*y5+(1/5Q3-1/5Q2+2/5)*y3+(1/5Q3-1/5Q2+1/5)*y
==> [3]:
==>    1/5*z5+(1/5Q3-1/5Q2+2/5)*z3+(1/5Q3-1/5Q2+1/5)*z
list Cnorm = Qso3Casimir(5,1);
Cnorm;
==> [1]:
==>    x5+(Q3-Q2+2)*x3+(Q3-Q2+1)*x
==> [2]:
==>    y5+(Q3-Q2+2)*y3+(Q3-Q2+1)*y
==> [3]:
==>    z5+(Q3-Q2+2)*z3+(Q3-Q2+1)*z
See also: makeQso3.