Pith. sign in

REVIEW 1 cited by

The Bannai-Ito algebra and some applications

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 1411.3913 v2 pith:M3EDJ2OV submitted 2014-11-14 math-ph math.MP

Hendrik De Bie , Vincent X. Genest , Satoshi Tsujimoto , Luc Vinet , Alexei Zhedanov This is my paper · ORCID
classification math-phmath.MP
keywords algebrabannai-itoapplicationssomedirac-dunklequationmodelpolynomials
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the $sl_{-1}(2)$ algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere are surveyed.

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. The quantum loop algebra of $sl_2$ and $q$-Racah type bivariate functions

    math.QA 2026-07 conditional novelty 6.0 of 10

    Bivariate q-Racah-type functions are realized as overlaps of six distinguished eigenbases in tensor-product evaluation representations of L U_q sl2, one family linked to tridiagonal pairs and another conjecturally to ...

Pith tools