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COMMENT:
MODDG
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NAME:
brauer_char
SYNOPSIS:
INT brauer_char(OP sn,OP prime,OP bc)
DESCRIPTION:
computes the table (MATRIX object) of brauer characters for the
symmetric group of degree sn (INTEGER object) and given prime
(INTEGER object)
NAME:
decp_mat
SYNOPSIS:
INT decp_mat(OP n,OP p,OP dmat)
DESCRIPTION:
computes the decomposition matrix to the symmetric
group Sn of degree n for the prime p.
The result is the MATRIX object dmat.
The routine first looks for the file decommix.dat in the
actual directory. This file is generated during a previous
run of the routine decp_mat. So if the values are already
stored in this file you get an imediate answer. Problems
arise if the data in this file is corrupted because of
errors in previous runs. So to get the programm working
correctly you have to remove this file decommix.dat
NAME:
dimension_mod
SYNOPSIS:
INT dimension_mod(OP part, OP prim, OP res)
DESCRIPTION:
computes the dimension of the modular irreducible
representation labeled by the PARTITION object part,
modulo the INTEGER object prim.
NAME:
schnitt_mat
SYNOPSIS:
INT schnitt_mat(OP part, OP n, OP res)
DESCRIPTION:
this computes the matrix, whose modular rang gives the dimenion
of the irreducible modular representation.
NAME:
moddg
SYNOPSIS:
INT moddg(prime,llambda,pi,dmat) OP prime; OP llambda; OP pi; OP dmat;
DESCRIPTION:
computes a modular irreducible representation for the PERMUTATION object
pi. The result is a MATRIX object with INTEGER entries. The representation is
labbeled by the PARTITION object llambda. The prime is the first parameter,
a INTEGER object.
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