Lattices and Parameter Reduction in Division Algebras
| dc.creator | Lorenz, Martin | |
| dc.creator | Reichstein, Zinovy | |
| dc.date | 2000-01-05 | |
| dc.date.accessioned | 2026-07-07T04:33:13Z | |
| dc.date.available | 2026-07-07T04:33:13Z | |
| dc.description | Let k be an algebraically closed field of characteristic 0 and let D be a division algebra whose center F contains k. We shall say that D can be reduced to r parameters if D = D_0 tensor_{F_0} F, where D_0 is a division algebra, the center F_0 of D_0 contains k and trdeg(F_0/k) = r. We show that every division algebra of odd degree n >= 5 can be reduced to at most (n-1)(n-2)/2 parameters. Moreover, every crossed product division algebra of degree n >= 4 can be reduced to at most (log_2(n) - 1)n + 1 parameters. Our proofs of these results rely on lattice-theoretic techniques. | |
| dc.description | 18 pages, AMS-LaTeX2e with xypic | |
| dc.identifier | https://arxiv.org/abs/math/0001026 | |
| dc.identifier | http://arxiv.org/abs/math/0001026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58490 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 16K20; 14L30; 20C10; 20J06 | |
| dc.title | Lattices and Parameter Reduction in Division Algebras | |
| dc.type | text |