dorsal/arxiv
View SchemaFinite-dimensional Calogero representation of the $q$-differential operator
| Authors | R. Chakrabarti, R. Jagannathan |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504021 |
| URL | https://arxiv.org/abs/q-alg/9504021 |
Abstract
A finite-dimensional matrix representation of the Jackson $q$-differential operator $D_q$, defined by $D_qf(x)$ $=$ $(f(qx)-f(x))/(x(q-1))$, is written down following Calogero. Such a representation of $D_q$ should have applications in $q$-analysis leading to the corresponding extensions of the numerous results of Calogero's work.
{
"annotation_id": "f8010d56-688e-4aa9-a869-a930ff253e56",
"date_created": "2026-03-02T18:01:24.706000Z",
"date_modified": "2026-03-02T18:01:24.706000Z",
"file_hash": "47be9a04338bfee12fbefc7de718c87f6391cd7c065b45310db605e839e43df8",
"private": false,
"record": {
"abstract": "A finite-dimensional matrix representation of the Jackson $q$-differential\noperator $D_q$, defined by $D_qf(x)$ $=$ $(f(qx)-f(x))/(x(q-1))$, is written\ndown following Calogero. Such a representation of $D_q$ should have\napplications in $q$-analysis leading to the corresponding extensions of the\nnumerous results of Calogero\u0027s work.",
"arxiv_id": "q-alg/9504021",
"authors": [
"R. Chakrabarti",
"R. Jagannathan"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Finite-dimensional Calogero representation of the $q$-differential operator",
"url": "https://arxiv.org/abs/q-alg/9504021"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "92efecde-d06e-487d-b498-68ad0b2e0ecb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}