#12667: category root lattice realization issue: infinite loop while trying to
reflect to the positive chamber
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   Reporter:  mshimo         |          Owner:  sage-combinat 
       Type:  defect         |         Status:  new           
   Priority:  major          |      Milestone:  sage-5.0      
  Component:  combinatorics  |       Keywords:  root system   
Work_issues:                 |       Upstream:  N/A           
   Reviewer:                 |         Author:  Mark Shimozono
     Merged:                 |   Dependencies:                
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Description changed by mhansen:

Old description:

> version 5.0 beta7
>
> sage/combinat/root_system/root_lattice_realizations.py
> element methods to_positive_chamber, reduced_word
> may give infinite loops for affine root systems
>
> {{{
> R=sage.combinat.root_system.all.RootSystem(['A',1,1])
> rl = R.root_lattice()
> mu = rl.from_vector(vector([0,1]))
> mu.to_positive_chamber()}}}

New description:

 version 5.0 beta7

 sage/combinat/root_system/root_lattice_realizations.py
 element methods to_positive_chamber, reduced_word
 may give infinite loops for affine root systems

 {{{
 R=sage.combinat.root_system.all.RootSystem(['A',1,1])
 rl = R.root_lattice()
 mu = rl.from_vector(vector([0,1]))
 mu.to_positive_chamber()
 }}}

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12667#comment:3>
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