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Mar 28, 2010 at 14:33 comment added David Jordan While it is unfortunately true that MAGMA is not free, it is in my mind the best tool for computing with representation theory of finite dimensional algebras (and especially group algebras). Many institutions have licenses but you have to run it through ssh. The biggest advantage to my mind is that MAGMA authors were aware of basic notions in category theory, and so when you work with magma you have all the maps connecting your various objects (e.g. quotients, inclusions, etc.) built in. For coding many things, this is indispensably convenient.
Mar 28, 2010 at 13:26 comment added john mangual Magma is not free. Maybe my school has it.
Mar 28, 2010 at 6:53 history answered Mikael Vejdemo-Johansson CC BY-SA 2.5