hi all

I've just realized that SAGE knows about the Steenrod algebra now.
Does it know about unstable modules, too ?

I have another, related question. I have computed the unstable module
structure on the mod 2 cohomology rings of quite a bunch of finite
groups, see

http://www-irma.u-strasbg.fr/~guillot/research/cohomology_of_groups/index.html

I was thinking that I should, somehow, provide a file readable by SAGE
so that people could use these algebras. For one thing it would
provide many examples of unstable modules, which is always good to
test ideas about the Steenrod algebra. And regardless of the steenrod
operations, even the cohomology rings, as computed by Carlson and
others, are not available in SAGE yet (they're there as Magma files).
At this point I can relatively easily provide a partial translation
into SAGE.

However I was wondering about the best "format" for this: assuming the
unstable algebra class does not exist, shall I present the algebras as
quotients of polynomial rings ? or just give a couple of SAGE lists
with the generators and relations, possibly just members of the formal
ring ? or something pickled perhaps ? I really don't know. Note that
I've got more information on these algebras yet (Stiefel-Whitney
classes...)

And shall I think of a mechanism for people to download ALL the
examples at once rather than separately ? (perhaps useful to try a
conjecture about unstable modules ?)

suggestions most welcome.
Thanks,

pierre


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