A new 'non-standard' quantization of the universal enveloping algebra
of the split (natural) real form so(2, 2) of D-2 is presented. Some (c
lassical) graded contractions of so(2, 2) associated to a Z(2) x Z(2)
grading are studied, and the automorphisms defining this grading are g
eneralized to the quantum case, thus providing quantum contractions of
this algebra. This produces a new family of 'non-standard' quantum al
gebras; Some of these algebras can be realized as (2 + 1) kinematical
algebras; we explicitly introduce a new deformation of Poincare algebr
a, which is naturally linked to the null plane basis. Another realizat
ion of these quantum algebras as deformations of the conformal algebra
s for the two-dimensional Euclidean, Galilei and Minkowski spaces is g
iven, and its new properties are emphasized.