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7.7.12.0. 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
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See also:
makeQso3.
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