dorsal/arxiv
View SchemaRelativistic and Newtonian kappa spacetimes
| Authors | J. A. de Azcarraga, J. C. Perez Bueno |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9505004 |
| URL | https://arxiv.org/abs/q-alg/9505004 |
| DOI | 10.1063/1.531196 |
| Journal | J.Math.Phys.36:6879-6896,1995 |
Abstract
The deformations of the Galilei algebra and their associated noncommutative Newtonian spacetimes are investigated. This is done by analyzing the possible nonrelativistic limits of an eleven generator (pseudo)extended \kap-Poincar\'e algebra $\tilde{\cal P}_\kappa$ and their implications for the existence of a first order differential calculus. The additional one-form needed to achieve a consistent calculus on \kap-Minkowski space is shown to be related to the additional central generator entering in the $\tilde{\cal P}_\kappa$ Hopf algebra. In the process, deformations of the extended Galilei and Galilei algebras are introduced which have, respectively, a cocycle and a bicrossproduct structure.
{
"annotation_id": "c2f08b15-99ea-49cc-96a2-abce0e534358",
"date_created": "2026-03-02T18:01:24.905000Z",
"date_modified": "2026-03-02T18:01:24.905000Z",
"file_hash": "ab2217fac2ca4c3a017567b747442d6bd570bd92f87898d26fcfb6ad9fc8149e",
"private": false,
"record": {
"abstract": "The deformations of the Galilei algebra and their associated noncommutative\nNewtonian spacetimes are investigated. This is done by analyzing the possible\nnonrelativistic limits of an eleven generator (pseudo)extended \\kap-Poincar\\\u0027e\nalgebra $\\tilde{\\cal P}_\\kappa$ and their implications for the existence of a\nfirst order differential calculus. The additional one-form needed to achieve a\nconsistent calculus on \\kap-Minkowski space is shown to be related to the\nadditional central generator entering in the $\\tilde{\\cal P}_\\kappa$ Hopf\nalgebra. In the process, deformations of the extended Galilei and Galilei\nalgebras are introduced which have, respectively, a cocycle and a\nbicrossproduct structure.",
"arxiv_id": "q-alg/9505004",
"authors": [
"J. A. de Azcarraga",
"J. C. Perez Bueno"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1063/1.531196",
"journal_ref": "J.Math.Phys.36:6879-6896,1995",
"title": "Relativistic and Newtonian kappa spacetimes",
"url": "https://arxiv.org/abs/q-alg/9505004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1d9d3864-a984-4132-ba26-5dd983f83d4d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}