Opened 3 years ago

Closed 3 years ago

#25483 closed enhancement (fixed)

Implement Coxeter numbers in the sense of Malle

Reported by: tdouvropoulos Owned by:
Priority: major Milestone: sage-8.3
Component: combinatorics Keywords: reflection groups, days93.51
Cc: tscrim, stumpc5 Merged in:
Authors: Theo Douvropoulos Reviewers: Travis Scrimshaw
Report Upstream: N/A Work issues:
Branch: b49d8b7 (Commits, GitHub, GitLab) Commit: b49d8b70f211bb0ba348f9c91f6d7adbc91405b0
Dependencies: Stopgaps:

Status badges

Description

For every irreducible character \chi of a complex reflection group W, we define the Coxeter number c_{\chi} as the trace of \sum(1-t) where t runs over all reflections of W.

This was first considered by Malle, where it appeared as part of a palindromicity property of fake degrees of characters.

Change History (8)

comment:1 Changed 3 years ago by tdouvropoulos

  • Status changed from new to needs_review

comment:2 Changed 3 years ago by git

  • Commit changed from 627c97360d9566f2676ad6eb89de607e801dc67d to fbfe8e506ded2ddef6f8fee5bf6818154f538e8c

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

fbfe8e5Reviewer changes.

comment:3 Changed 3 years ago by tscrim

  • Reviewers set to Travis Scrimshaw

If my changes look good, then positive review.

comment:4 Changed 3 years ago by tdouvropoulos

  • Status changed from needs_review to positive_review

comment:5 Changed 3 years ago by git

  • Commit changed from fbfe8e506ded2ddef6f8fee5bf6818154f538e8c to b49d8b70f211bb0ba348f9c91f6d7adbc91405b0
  • Status changed from positive_review to needs_review

Branch pushed to git repo; I updated commit sha1 and set ticket back to needs_review. This was a forced push. New commits:

b49d8b7Reviewer changes.

comment:6 Changed 3 years ago by tscrim

  • Status changed from needs_review to positive_review

I trivially removed some trailing whitespace.

comment:7 Changed 3 years ago by tscrim

  • Keywords days93.51 added; days 93.51 removed

comment:8 Changed 3 years ago by vbraun

  • Branch changed from public/combinat/Malle-Coxeter-number to b49d8b70f211bb0ba348f9c91f6d7adbc91405b0
  • Resolution set to fixed
  • Status changed from positive_review to closed
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