dorsal/arxiv
View SchemaB\"acklund--Darboux transformations in Sato's Grassmannian
| Authors | B. Bakalov, E. Horozov, M. Yakimov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602010 |
| URL | https://arxiv.org/abs/q-alg/9602010 |
Abstract
We define B\"acklund--Darboux transformations in Sato's Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras. This paper is the second of a series of papers (hep-th/9510211, q-alg/9602011, q-alg/9602012) on the bispectral problem.
{
"annotation_id": "82b56581-1ad6-43ba-87fb-0b0c10288167",
"date_created": "2026-03-02T18:01:27.549000Z",
"date_modified": "2026-03-02T18:01:27.549000Z",
"file_hash": "8e47d38aad91964f6c390cd1170b267898421987809fcfb7ff4dab151d9ea543",
"private": false,
"record": {
"abstract": "We define B\\\"acklund--Darboux transformations in Sato\u0027s Grassmannian. They\ncan be regarded as Darboux transformations on maximal algebras of commuting\nordinary differential operators. We describe the action of these\ntransformations on related objects: wave functions, tau-functions and spectral\nalgebras.\n This paper is the second of a series of papers (hep-th/9510211,\nq-alg/9602011, q-alg/9602012) on the bispectral problem.",
"arxiv_id": "q-alg/9602010",
"authors": [
"B. Bakalov",
"E. Horozov",
"M. Yakimov"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "B\\\"acklund--Darboux transformations in Sato\u0027s Grassmannian",
"url": "https://arxiv.org/abs/q-alg/9602010"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bda93a66-88a8-4692-8f0e-e6a56ff57dd8",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}