A simple axiomatic characterization of the noncommutative Ito algebra
is given and a pseudo-Euclidean fundamental representation for such al
gebra is described. It is proved that every Ito algebra with a quotien
t identity has a faithful representation in a Minkowski space and is c
anonically decomposed into the orthogonal sum of quantum Brownian (Wie
ner) algebra and quantum Levy (Poisson) algebra. In particular, every
quantum thermal noise of a finite number of degrees of freedom is the
orthogonal sum of a quantum Wiener noise and a quantum Poisson noise a
s it is stated by the Levy-Khinchin Theorem in the classical case. Two
basic examples of noncommutative Ito finite group algebras are consid
ered.