Pith. sign in

REVIEW 1 cited by

Non-standard quantum (1+1) Poincar\'e group: a T--matrix approach

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 q-alg/9501029 v1 pith:LJIU3LFK submitted 1995-01-27 q-alg math.QA

Non-standard quantum (1+1) Poincar\'e group: a $T$--matrix approach

A. Ballesteros , F.J. Herranz , M.A. del Olmo , C.M. Pere\~na , M. Santander This is my paper
classification q-alg math.QA
keywords quantumalgebradeformationdualformgroupnon--standardobtained
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
Share X Bluesky LinkedIn Reddit HN
abstract

The Hopf algebra dual form for the non--standard uniparametric deformation of the (1+1) Poincar\'e algebra $iso(1,1)$ is deduced. In this framework, the quantum coordinates that generate $Fun_w(ISO(1,1))$ define an infinite dimensional Lie algebra. A change in the basis of the dual form is obtained in order to compare this deformation to the standard one. Finally, a non--standard quantum Heisenberg group acting on a quantum Galilean plane is obtained.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

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

  1. Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames

    math.QA 2026-04 unverdicted novelty 7.0

    A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spac...