Pith. sign in

REVIEW 3 cited by

Monoidal supercategories

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 1603.05928 v3 pith:CL5PRT3M submitted 2016-03-18 math.RT math.CT

Jonathan Brundan , Alexander P. Ellis This is my paper · ORCID
classification math.RTmath.CT
keywords monoidalsuperanaloganalogsarticlecategoriescategoryclarify
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In the literature, one finds several competing notions for the super (i.e., Z/2-graded) analog of a monoidal category. The goal of this paper is to clarify these definitions and the connections between them. We also discuss in detail the example of the odd Temperley-Lieb supercategory. In a forthcoming article, we will exploit the formalism developed here in order to define super analogs of the Kac-Moody 2-categories of Khovanov-Lauda and Rouquier.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. Higher-level affine wreath product algebras

    math.RT 2026-05 unverdicted novelty 7.0 of 10

    Introduces higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras as path algebras of new categories depending on a Frobenius superalgebra, unifying various higher-level construct...

  2. Quartic BV structures in supercategories and modified necklace Lie bialgebras

    math.QA 2025-09 conditional novelty 7.0 of 10

    The augmented necklace Lie bialgebra, whose bracket and cobracket insert rather than remove involution pairs of arrows, is claimed to satisfy the IBL axioms and is witnessed by quartic Poisson/BV structures on represe...

  3. Higher-level degenerate spin affine Hecke superalgebras

    math.RT 2026-07 accept novelty 5.5 of 10

    Higher-level degenerate spin affine Hecke superalgebras are isomorphic (after Clifford tensor) to higher-level degenerate affine Hecke–Clifford superalgebras, hence Morita superequivalent.

Pith tools