#18700: Group algebras should have a coercion inherited from coercions of the
underlying groups
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   Reporter:  tscrim       |            Owner:  sage-combinat
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-6.8
  Component:  coercion     |         Keywords:  group algebras
  Merged in:               |          Authors:  Travis Scrimshaw
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 Consider the following situation:
 {{{
 sage: P = RootSystem(['A',2,1]).weight_lattice()
 sage: W = RootSystem(['A',2,1]).weight_space()
 sage: W.has_coerce_map_from(P)
 True
 sage: PA = P.algebra(QQ)
 sage: WA = W.algebra(QQ)
 sage: WA.has_coerce_map_from(PA)
 False
 }}}
 The last line should be `True`.

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Ticket URL: <http://trac.sagemath.org/ticket/18700>
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