Pith. sign in

REVIEW 1 cited by

Cactus groups and Lusztig's asymptotic algebra

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2408.16922 v1 pith:PJ3QVOEA submitted 2024-08-29 math.RT

Raphael Rouquier , Noah White This is my paper · ORCID
classification math.RT
keywords groupcactusalgebraasymptoticcoxeterelementsgroupslusztig
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We construct a morphism from the cactus group associated with a Coxeter group to the group of invertible elements of Lusztig's asymptotic algebra. This relates to the cactus group action on elements of Coxeter groups defined by Losev and Bonnaf\'e and we propose a conjecture on how to fully recover those actions.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Trickle groups

    math.GR 2024-12 conditional novelty 6.0 of 10

    Trickle groups unify right-angled Artin/Coxeter groups, cactus groups, Thompson group F, and ordered quandle groups, and they all inherit a terminating and confluent rewriting system and a solution to the word problem.

Pith tools