From Mennicke symbols to Euler class groups
| dc.creator | van der Kallen, Wilberd | |
| dc.date | 2000-10-25 | |
| dc.date.accessioned | 2026-07-07T06:29:55Z | |
| dc.date.available | 2026-07-07T06:29:55Z | |
| dc.description | Bhatwadekar and Raja Sridharan have constructed a homomorphism of abelian groups from an orbit set Um(n,A)/E(n,A) of unimodular rows to an Euler class group. We suggest that this is the last map in a longer exact sequence of abelian groups. The hypothetical group G that precedes Um(n,A)/E(n,A) in the sequence is an orbit set of unimodular two by n matrices over the ring A. If n is at least four we describe a partially defined operation on two by n matrices. We conjecture that this operation describes a group structure on G if A has Krull dimension at most 2n-6. We prove that G is mapped onto a subgroup of Um(n,A)/E(n,A) if A has Krull dimension at most 2n-5. | |
| dc.description | 11 pages, to appear in the Proceedings of the International Colloquium on Algebra, Arithmetic and Geometry. TIFR, Mumbai, January 4-12, 2000 | |
| dc.identifier | https://arxiv.org/abs/math/0010226 | |
| dc.identifier | http://arxiv.org/abs/math/0010226 | |
| dc.identifier | Proceedings of the International Colloquium on Algebra, Arithmetic and Geometry. Mumbai 2000, Part II, 341-354 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98213 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19A13 (Primary) 19B99 (Secondary) | |
| dc.title | From Mennicke symbols to Euler class groups | |
| dc.type | text |