Quadrics via Semigroups
| dc.creator | Krishnachandran, V. N. | |
| dc.date | 2009-02-25 | |
| dc.date.accessioned | 2026-07-07T12:46:40Z | |
| dc.date.available | 2026-07-07T12:46:40Z | |
| dc.description | This is the story of the rediscovery of classical three-dimensional geometry, especially the geometry of quadric surfaces, while studying the semigroup $M_2(\mathbb R)$ of linear endomorphisms of a real plane. One of the surfaces that appears prominently in this context is the hyperboloid of one sheet, referred to as {\em spaghetti bundle} in \cite{Samu:88}. In this story the spaghetti presents itself as the set of idempotents in $M_2(\mathbb R)$, the cone emerges as the set of nilpotent elements and the hyperbolic paraboloid as the set of semigroup-theoretic inverses of a singular element. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0902.4288 | |
| dc.identifier | http://arxiv.org/abs/0902.4288 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221461 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 15A04, 20M17, 51N25 | |
| dc.title | Quadrics via Semigroups | |
| dc.type | text |