Timeline for Generalizations of Boolean posets/lattices
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 1, 2011 at 8:44 | comment | added | Max Horn | This lattice coincides with the (incidence geometry) of the building of type $A_{n-1}$ over the field $\mathbb{F}_q$. The points of this geometry are the 1-dimensional subspaces, the lines the 2-dimensional subspaces etc. Buildings in general are indeed known to admit a rich theory and countless deep and beautiful properties, applications and interpretations, in many fields of mathematics, such as (finite and infinite) group theory, representation theory, combinatorics, geometry, ... | |
| Nov 24, 2009 at 15:28 | comment | added | Gil Kalai | Here is a link to a paper springerlink.com/content/v141451p51820482 which studies simultaneuosly a basic questions regarding ranks of incidence matrices for the Boolean lattice and for the lattice of subspaces over a field with q elements. | |
| Nov 24, 2009 at 2:59 | comment | added | Harrison Brown | Hm, interesting. Is there a name for this other than just "lattice of subspaces?" | |
| Nov 23, 2009 at 13:29 | history | answered | Gil Kalai | CC BY-SA 2.5 |