#15300: Clifford algebras and differential Weyl algebras
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  tscrim
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  algebra            |   Resolution:
       Keywords:  days54             |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:  Darij Grinberg, John
Report Upstream:  N/A                |  Palmieri
         Branch:                     |  Work issues:
  public/algebras/weyl_clifford-15300|       Commit:
   Dependencies:  #16037             |  86982750ec7fcf5a9a531702ee038dc26cadb401
                                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vbraun):

 * status:  needs_review => needs_work


Comment:

 {{{
 sage -t --long --warn-long 38.2 src/sage/combinat/descent_algebra.py
 git
 log**********************************************************************
 File "src/sage/combinat/descent_algebra.py", line 292, in
 sage.combinat.descent_algebra.DescentAlgebra.D.to_B_basis
 Failed example:
     map(B, D.basis()) # indirect doctest
 Expected:
     [B[4],
      B[1, 3] - B[4],
      B[2, 2] - B[4],
      B[1, 1, 2] - B[1, 3] - B[2, 2] + B[4],
      B[3, 1] - B[4],
      B[1, 2, 1] - B[1, 3] - B[3, 1] + B[4],
      B[2, 1, 1] - B[2, 2] - B[3, 1] + B[4],
      B[1, 1, 1, 1] - B[1, 1, 2] - B[1, 2, 1] + B[1, 3]
       - B[2, 1, 1] + B[2, 2] + B[3, 1] - B[4]]
 Got:
     [B[4],
      B[1, 3] - B[4],
      B[2, 2] - B[4],
      B[3, 1] - B[4],
      B[1, 1, 2] - B[1, 3] - B[2, 2] + B[4],
      B[1, 2, 1] - B[1, 3] - B[3, 1] + B[4],
      B[2, 1, 1] - B[2, 2] - B[3, 1] + B[4],
      B[1, 1, 1, 1] - B[1, 1, 2] - B[1, 2, 1] + B[1, 3] - B[2, 1, 1] + B[2,
 2] + B[3, 1] - B[4]]
  **********************************************************************
 1 item had failures:
    1 of   5 in sage.combinat.descent_algebra.DescentAlgebra.D.to_B_basis
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15300#comment:159>
Sage <http://www.sagemath.org>
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