Poisson--Lie contractions and quantum (1+1) groups

A. Ballesteros; F. J. Herranz; M. A. del Olmo; M. Santander

Poisson--Lie contractions and quantum (1+1) groups

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 hep-th/9403182 v1 pith:6PIL3D4T submitted 1994-03-30 hep-th math.QA

Poisson--Lie contractions and quantum (1+1) groups

A. Ballesteros , F. J. Herranz , M. A. del Olmo , M. Santander This is my paper

classification hep-th math.QA

keywords groupsalgebracontractionsquantumcasescayley--kleinclassicalcomputed

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

Share X Bluesky LinkedIn Reddit HN

abstract

A Poisson--Hopf algebra of smooth functions on the (1+1) Cayley--Klein groups is constructed by using a classical $r$--matrix which is invariant under contraction. The quantization of this algebra for the Euclidean, Galilei and Poincar\'e cases is developed, and their duals are also computed. Contractions on these quantum groups are studied.

discussion (0)

Forward citations

Cited by 1 Pith paper

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

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...