FUNCTION: mchpg - test an algebra for being of polynomial growth
CALLING SEQUENCE:
mchpg(a)
mchpg(a,s,p,m,c,incl,img)
a - a completely separating bound poset algebra
s, p, m, c, incl, img - optional arguments evaluating to names
SYNOPSIS:
If the algebra is not of polynomial growth, various data will be returned through the optional arguments. In particular:
s - will be a point for which there is a poset of minimal chain sequences that is not of polynomial growth.
p - will contain the poset structure of the poset belonging to s.
m - a table containing for each minimal chain sequence in p the corresponding s-start set.
c - will give the name of the hypercritical subposet or of the minimal tame non polynomial growth subposet of p found by the function.
incl - a list containing data about the inclusion c --> p found by the function. In fact incl[i] is the image in p of the point i of c under this inclusion.
img - a vector marking the points of p belonging to the image of c by 1, those not belonging to the image by 0.
EXAMPLES:
>
a:=[8,{[3,1,2],[4,3,8],[5,4],[6,5],[7,5]},{[6,8],[7,8]}];
> mchpg(a,'s','p','m','c','incl','img');
> print(s);
>
print(p);
>
print(m);
>
print(c);
>
print(incl);
>
print(img);
SEE ALSO: mchrepfin, mchwild, pspg, rstartsets, subposet, crep/predefined_variables, complsep
BACK TO: start page of the crep online manual, crep