#19139: Implement categories for KR crystals
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.9
Component: combinatorics | Resolution:
Keywords: crystals, KR | Merged in:
crystals, category | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | 6a57ce259f30676cf7bd144542c76d2f2169fcd7
public/categories/derived_affine_crystals-19139| Stopgaps:
Dependencies: |
-------------------------------------+-------------------------------------
Changes (by tscrim):
* keywords: crystals, KR => crystals, KR crystals, category
* status: new => needs_review
* branch: => public/categories/derived_affine_crystals-19139
* commit: => 6a57ce259f30676cf7bd144542c76d2f2169fcd7
Comment:
I'm not completely set on the name "affine derived subalgebra crystals",
but it was the best I could come up with to stay as general as possible. I
didn't want to do "* derived crystals" because derived has special meaning
in terms of category theory, and nothing else I came up with kept the
generality I wanted. Suggestions welcomed.
----
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=da8a277f9d027c44aac61cdb32eb0145ea612f4e
da8a277]||{{{Initial creation of KR crystals category.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=7b4ae6be548aee7a87ca79dc0aee34dffe1ab202
7b4ae6b]||{{{Moving methods to KR crystals category and simplifying
weight_lattice_realization.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=4c64e074ee0982569d73f4122cb2ff2acb0b9347
4c64e07]||{{{Moved 1-dim sum and relate functions to the category.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=c92a80f8e9607f068b58595e9bb1764f54d1a95b
c92a80f]||{{{Fixing bug in classically HW vectors.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=af87ee807a31918ec7b1f2cb5c8b3ad45c56a006
af87ee8]||{{{Fixing category hierarchy for (tensor products of) KR
crystals.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=f8114a7d61e056b2b1c3c08108d191ba41824c4d
f8114a7]||{{{Added maximal_vector() for tensor product of KR
crystals.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=f2058a8aec1a941a469a2c07692d8e80119f1929
f2058a8]||{{{More changes to the category structure and added a generic
classical_weight().}}}||
||[http://git.sagemath.org/sage.git/commit/?id=fe54e813594400303e6611ee0279f9fafc5595f4
fe54e81]||{{{Added classically HW vecs for KR crystals in KN tableaux.
Made general is_perfect().}}}||
||[http://git.sagemath.org/sage.git/commit/?id=25ae4ceafb4b0d66fe3e491fd8f3ac03c34c59f3
25ae4ce]||{{{Added cardinality() for KR crystals.}}}||
||[http://git.sagemath.org/sage.git/commit/?id=6a57ce259f30676cf7bd144542c76d2f2169fcd7
6a57ce2]||{{{Removing a little trailing whitespace.}}}||
--
Ticket URL: <http://trac.sagemath.org/ticket/19139#comment:1>
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