Trace decategorification of the Hecke category

Aaron D. Lauda; Ben Elias

Trace decategorification of the Hecke category

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 1504.05267 v1 pith:N27X4YT2 submitted 2015-04-21 math.RT math.RA

Ben Elias , Aaron D. Lauda This is my paper · ORCID

classification math.RTmath.RA

keywords categorytracedecategorificationheckearbitrarycalculatecategoriescellular

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We compute the trace decategorification of the Hecke category for an arbitrary Coxeter group. More generally, we introduce the notion of a strictly object-adapted cellular category and calculate the trace for such categories.

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

Idempotents, traces, and dimensions in Hecke categories
math.RT 2025-07 conditional novelty 8.0 of 10

The paper provides closed formulas for recursible local intersection forms and recursive partial trace formulas that reduce categorical dimensions in asymptotic Hecke categories to diagrammatic computations.

Pith tools