On Sat, Mar 17, 2012 at 3:55 PM, [email protected]
<[email protected]> wrote:
>>
>> Is this necessary? All groups are isomorphic to the permutation group
>> anyway. Groups for specific structures can make use of functionality
>> implemented for them (matrix group -> sympy matrices, galois -> polys)
>> for basic operations and can implement the mapping to the perm group
>> module for group theoretic operations.
>>
>
> This seems incorrect. Zn is abelian for example and it is not
> isomorphic to any permutation group. Moreover, there are all the
> continuous groups.


It is not correct to say Zn (I assume you mean the ring of integers
mod n) is not isomorphic to a permutation group. (Consider the
cyclic group generated by the n-cycle (1,2,...,n) in disjoint
cycle notation.)

Implementing Lie groups would be a relatively difficult undertaking
I think...


>
> Besides, it will be nicer to have some abstract object that is not
> tied to a concrete representation, even though it will probably just
> be a wrapper for all the representations supported by sympy.
>
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