Leírás
A Cameron-Liebler set is a set of subspaces in a fixed finite projective
space, that has many
equivalent definitions. Cameron and Liebler started with a Cameron-Liebler
line set S in PG(3; q) ,
which is a set of lines, so that every line spread in PG(3, q) has the same
number of lines in common
with S .
After a large number of results regarding Cameron-Liebler sets of lines in
the projective space
PG(3; q), Cameron-Liebler sets of k -spaces in the (2k+1) -dimensional
projective space PG(2k+
1, q) were defined. In addition, this research started the motivation for
defining and investigating
Cameron-Liebler sets of generators in polar spaces.
In this talk I will discuss a new definition for Cameron-Liebler sets in
projective and polar
spaces, where I will use the theory of association schemes. By using this
new definition, we try to
give a classification result for Cameron-Liebler k -sets in PG(n, q) .