Speaker:

Hans Cuypers (Eindhoven)

Date/Time:

Mon, 16/11/2009 - 16:30

Room:

M103

Seminar series:

A Fischer space is a partial linear space (P,L) in which

each line contains 3 points and two intersecting lines

generate a subspace isomorphic to an affine or dual affine plane.

Starting from a Fischer space (P,L) one can construct an

algebra on the vector space 2^P defined by the rule that

p*q=p+q+r if {p,q,r} is a line

=0 if p and q are not collinear or p=q.

We study the structure of this algebra and determine the

simple Lie algebras that arise from this construction.