#4487: (with patch; needs review) add method to evaluate characters of 
permutation
and matrix groups
--------------------------+-------------------------------------------------
 Reporter:  wdj           |        Owner:  joyner
     Type:  enhancement   |       Status:  new   
 Priority:  major         |    Milestone:        
Component:  group_theory  |   Resolution:        
 Keywords:                |  
--------------------------+-------------------------------------------------
Changes (by saliola):

  * summary:  add method to evaluate characters of permutation and matrix
              groups => (with patch; needs review) add method
              to evaluate characters of permutation and
              matrix groups

Comment:

 I'm attaching a patch that adds a GroupCharacter class that wraps GAP's
 Character function. The above can now be achieved by doing the following:

 {{{
 sage: G = GL(2,7)
 sage: z = G.center().an_element()
 sage: chi = G.irreducible_characters()[1]
 sage: chi(z)
 1
 }}}


 One problem: I don't know how to coerce the values of the characters into
 Sage. Is there a standard datatype for this?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4487#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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