Quantum differential operators on K[x]
| dc.creator | Iyer, Uma N. | |
| dc.creator | McCune, Timothy C. | |
| dc.date | 2000-10-04 | |
| dc.date | 2002-01-12 | |
| dc.date.accessioned | 2026-07-07T04:37:50Z | |
| dc.date.available | 2026-07-07T04:37:50Z | |
| dc.description | Following the definition of quantum differential operators given by Lunts and Rosenberg in (Sel. math., New ser. 3 (1997) 335--359), we show that the ring of quantum differential operators on the affine line is the ring generated by x and \del, the familiar differential operators on the line, along with two additional operators which we call \del^β^1 and \del^β^-1. We describe this ring both as a subring of the ring of graded endomorphisms and as a ring given by generators and relations. From this starting point, we are able to describe the ring of quantum differential operators on affine n-space and to construct the ring of global quantum differential operators on the projective line. | |
| dc.description | 26 pages, references added. To appear in International Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0010041 | |
| dc.identifier | http://arxiv.org/abs/math/0010041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60052 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W35, 17B37, 20G42 | |
| dc.title | Quantum differential operators on K[x] | |
| dc.type | text |