#18755: Add elementary and infinity crystals to Thematic Tutorial on crystals
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       Reporter:  bsalisbury1        |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:  crystals,          |    Merged in:
  thematic tutorial                  |    Reviewers:
        Authors:  Ben Salisbury      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  61feeff977965490a6dc268bcb9b617abe24bc5e
  u/bsalisbury1/Binf_tutorial        |     Stopgaps:
   Dependencies:                     |
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Comment (by bump):

 [Kashiwara1995] can also be used as a reference for T_lambda. (Example
 7.3.) Also for the B_i.

 In some cases left tensoring with T_lambda is different from right
 tensoring with T_lambda. For example left tensoring B_i with T_lambda is
 the same as right tensoring with T_{s_i lambda}.

 There is potential for confusion since Sage's convention for tensoring is
 the opposite of Kashiwara's. Kashiwara usually considers B tensor T_lambda
 if he just wants to shift the dimension. So I guess we do the reverse,
 which is what you do in the tutorial. The issue comes up again with
 R_lambda. It might be worth mentioning something about this issue.

 The patch should add Ben Salisbury as an author.

--
Ticket URL: <http://trac.sagemath.org/ticket/18755#comment:6>
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