On Sat, Mar 31, 2012 at 10:40 PM, Aleksandar Makelov
<amake...@college.harvard.edu> wrote:
> On a similar note, I'm now implementing a tiny project to handle
> character tables by manual input from the user.
> This was *motivated* by a recent problem set in which one of the
> problems was about decomposing 4 representations of S4 into
> irreducible ones, which takes about 300 multiplications and 100
> additions when done by hand (...). It will allow people to manually
> input the cardinalities of conjugacy classes and a bunch of characters
> of irreducible representations and then mess around with them (take
> direct sums, tensor them, take duals, decompose, check for
> irreducibility,...). It will probably make good use of the complex
> numbers already in sympy - but is it going to be a valuable addition
> to the library? (I mean, there's no representation theory in sympy
> (yet))


This could be very useful. GAP does a great job with characters, so
most people would just use
GAP for that though. Still, some functionality would be nice.
Ondrej wrote some notes on group theory here:
http://theoretical-physics.net/dev/src/math/groups.html
Being able to do those in SymPy would be nice.


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