#13563: KR crystals for spinors in type D
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Reporter: aschilling | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.5
Component: combinatorics | Resolution:
Keywords: crystals | Work issues:
Report Upstream: N/A | Reviewers: Dan Bump
Authors: Anne Schilling | Merged in:
Dependencies: | Stopgaps:
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Description changed by aschilling:
Old description:
> Implementation of spinor KR crystals B^{r,s} of type D_n^{(1)} for
> r=n-1,n and bug fixes in crystal code
>
> This patch implements the spinor Kirillov-Reshetikhin crystals `B^{r,s}`
> of type `D_n^{(1)}` for
> `r=n-1,n`. It also fixes a bug in the module_generator method in
> CrystalOfTableaux for type
> `D_n`, when the last entry is negative (i.e. in the odd spinor case). The
> documentation
> of Demazure operators in crystals is fixed.
New description:
Implementation of spinor KR crystals B^{r,s} of type D_n^{(1)} for r=n-1,n
and bug fixes in crystal code
This patch implements:
- the spinor Kirillov-Reshetikhin crystals `B^{r,s}` of type `D_n^{(1)}`
for `r=n-1,n`.
- fixes a bug in the module_generator method in CrystalOfTableaux for type
`D_n`, when the last entry is negative (i.e. in the odd spinor case).
- fixes the documentation of Demazure operators in crystals and makes them
use CombinatorialFreeModules instead of lists.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13563#comment:4>
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