Opened 2 years ago

Last modified 5 weeks ago

#28279 new enhancement

Brauer Algebra Idempotents

Reported by: gh-pavjav Owned by:
Priority: major Milestone: sage-9.6
Component: algebra Keywords: Brauer Algebra, idempotents
Cc: tscrim Merged in:
Authors: Pavel Javornik Reviewers: Pavel Javornik
Report Upstream: N/A Work issues:
Branch: u/gh-pavjav/brauer_algebra_idempotents (Commits, GitHub, GitLab) Commit: 4e1305bcb72823840592ac407fe9a0eb0f1c2c3b
Dependencies: Stopgaps:

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Description (last modified by gh-pavjav)

Ticket dedicated to the implementation of Brauer Algebra Idempotents

Change History (14)

comment:1 Changed 2 years ago by gh-pavjav

  • Authors set to Pavel Javornik
  • Cc tscrim added
  • Component changed from PLEASE CHANGE to algebra
  • Description modified (diff)
  • Keywords Brauer Algebra idempotents added
  • Reviewers set to Pavel Javornik
  • Type changed from PLEASE CHANGE to enhancement

comment:2 Changed 2 years ago by gh-pavjav

  • Branch set to u/gh-pavjav/brauer_algebra_idempotents

comment:3 Changed 2 years ago by gh-pavjav

  • Branch changed from u/gh-pavjav/brauer_algebra_idempotents to brauer_algebra_idempotents

comment:4 Changed 2 years ago by gh-pavjav

  • Branch changed from brauer_algebra_idempotents to u/gh-pavjav/brauer_algebra_idempotents

comment:5 Changed 2 years ago by git

  • Commit set to 1537fe511be36572f9faf097a5f203ab5b829253

Branch pushed to git repo; I updated commit sha1. New commits:

comment:6 Changed 2 years ago by chapoton

the branch is empty

comment:7 Changed 2 years ago by git

  • Commit changed from 1537fe511be36572f9faf097a5f203ab5b829253 to 4e1305bcb72823840592ac407fe9a0eb0f1c2c3b

Branch pushed to git repo; I updated commit sha1. New commits:

4e1305bFirst edit. Added call .central_primitive_idempotents() to return list. Minor concerns about division by zero errors when k=3, z=4 due to ocurrence of (z-4) terms in denominator of interpolating polynomial expression. May need to cancel terms with numerator terms before evaluating with Jucys-Murphy elements.

comment:8 Changed 2 years ago by gh-pavjav

TODO:

--Resolve division by zero errors. See example when order is 3 and deformation parameter is 4. As in https://arxiv.org/pdf/1606.08900.pdf , pg. 31 where the rank 3 idempotents are listed, there is a (delta-4) in the denominator. Perhaps there are terms that cancel? B_3(4) is semisimple after all.

--Cite https://arxiv.org/pdf/1606.08900.pdf

--Code must be organized and optimized as per development standards

comment:9 Changed 2 years ago by embray

  • Milestone changed from sage-8.9 to sage-9.1

Ticket retargeted after milestone closed

comment:10 Changed 22 months ago by mkoeppe

  • Milestone changed from sage-9.1 to sage-9.2

Batch modifying tickets that will likely not be ready for 9.1, based on a review of the ticket title, branch/review status, and last modification date.

comment:11 Changed 17 months ago by mkoeppe

  • Milestone changed from sage-9.2 to sage-9.3

comment:12 Changed 11 months ago by mkoeppe

  • Milestone changed from sage-9.3 to sage-9.4

Setting new milestone based on a cursory review of ticket status, priority, and last modification date.

comment:13 Changed 6 months ago by mkoeppe

  • Milestone changed from sage-9.4 to sage-9.5

comment:14 Changed 5 weeks ago by mkoeppe

  • Milestone changed from sage-9.5 to sage-9.6
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