We give a pedagogical introduction to the basics of deformations of
relativistic symmetries and the Hilbert spaces of free quantum fields built as
their representations. We focus in particular on the example of a
κ-deformed scalar quantum field for which the generators of spatial
translations that label the field modes act according to a deformed Leibnitz
rule. We explore the richer structure of the κ-Fock space and point out
possible physical consequences of the deformation.Comment: 7 pages, no figures. Invited talk at XXV Max Born Symposium, The
Planck scale, Wroclaw (Poland), June 29 - July 3, 2009. To appear in the
Proceeding