HELP FOR: A package for the symmetric group algebra.
CALLING SEQUENCE:
- SGA[<function>](args)
- <function>(args)
-
SYNOPSIS:
- This package provides functions to work with the symmetric group
algebra, together with its realization as an algebra of operators on
the ring of polynomials.
- A general element is expressed as a linear combination of A[perm], where
perm is a permutation, with arbitrary coefficients.
- To get more information on permutations do either ?TYP,Permutation or
?TYP[Permutation].
- Whenever there is a conflict between a function name in SGA and another
name used in the same session, use the long form SGA[<function>].
- The available functions are:
- For help with a particular function do either ?SGA[<function>] or
?SGA,<function> where <function> is one from the above list.
- Instead of SgaAdd, SgaMinus, SgaMult, one can use in short
&!+ &!- &!*
EXAMPLES:
> with(SGA):
> Sga2Carre(A[3,1,2]) &!* Sga2Nabla(A[3,1,2]);
1/2 A[2, 3, 1] - 1/2 A[3, 2, 1] + A[2, 1, 3] + 1/2 A[3, 1, 2]
- 1/2 A[1, 3, 2] - A[1, 2, 3]