On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes
| dc.creator | Sinel'shchikov, S. | |
| dc.creator | Vaksman, L. | |
| dc.date | 1997-03-03 | |
| dc.date | 1998-09-18 | |
| dc.date.accessioned | 2026-07-07T09:08:45Z | |
| dc.date.available | 2026-07-07T09:08:45Z | |
| dc.description | A very well known result by Harish-Chandra claims that any Hermitian symmetric space of non-compact type admits a canonical embedding into a complex vector space $V$. The image of this embedding is a bounded symmetric domain in $V$. This work provides a construction of q-analogues of a polynomial algebra on $V$ and the differential algebra of exterior forms on $V$. A way of producing a q-analogue of the bounded function algebra in a bounded symmetric domain is described. All the constructions are illustrated by detailed calculations in the case of the simplest Hermitian symmetric space $SU(1,1)/U(1)$. The development of these ideas can be found in math.QA/9803110 and math.QA/9809038 . | |
| dc.description | LaTeX 2.09, 23 pages, vaksman@ilt.kharkov.ua, sinelshchikov@ilt.kharkov.ua, some misprints are corrected | |
| dc.identifier | https://arxiv.org/abs/q-alg/9703005 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9703005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150836 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81R50 (Primary) 81Q99 (Secondary) | |
| dc.title | On q-Analogues of Bounded Symmetric Domains and Dolbeault Complexes | |
| dc.type | text |