Hi Mike, Great! I suppose in type C you would go to symmetric cores (as in my paper with Thomas and Mark). Where should the inverse function go, that is, the function from symmetric cores to affine Grassmannian elements in type C? Also in the Core class? But then the function would have to take another argument, namely the type and do some checking (that the core is symmetric etc).
We can ask Brant and Steve! I agree they are not difficult to implement, I am just wondering where precisely to put them in sage. Best, Anne On 8/26/11 7:16 AM, Mike Zabrocki wrote:
Hi Anne, I have these functions in type C and I can do type B and D too (I just have been waiting on my student to do them). I haven't looked too closely, but I think that they can be done in a way that tweaks just one line. Maybe Brant has already done them? -Mike On Fri, Aug 26, 2011 at 2:12 AM, Anne Schilling<a...@math.ucdavis.edu> wrote:Hi! A first implementation of the Core class is now available in the patch trac_11742-cores-as.patch on the sage-combinat server. Any comments or volunteers for review? (Could Mike and I be both authors and reviewers at the same time?) I have a question regarding one more detail: We implemented the bijection between k-bounded partitions and (k+1)-cores as the methods to_core in Partition and to_bounded_partition in Core. There is also a bijection with Grassmannian elements in the affine Weyl group for type A_k^{(1)}. There are methods from_kbounded_to_grassmannian in Partition and to_grassmannian in Core. Where shall we put the corresponding reverse maps from Grassmannian elements? Should they go into /combinat/root_system/weyl_group.py? This is, however, currently specific to type A and Grassmannian elements. Cheers, Anne
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