algebraic quantization is one of several mathematical counterparts to the physical notion of ``quantization''. it's goal is to describe non-commutative algebras using generators satisfying nice commutation relations. \vskip .1in \noindent let $\frak g$ be a lie algebra. we denote by $u(\frak g)$ its enveloping algebra and by $d(\frak g)$ the quotient skew field (to be defined and explained). \vskip .1in \noindent $g-k$ theorem claims that the skew field $d(\frak g)$ is generated by $2n = n(n+1)$ elements $p_1,\,\dots ,\,p_n,\, q_1,\,\dots,\,q_n$ satisfying the canonical commutation relations $$ [p_i,\,p_j] = [q_i,\,q_j] = 0,\quad [p_i,\,q_j] = \delta_{ij} $$ and by $n$ elements $z_1,\,\dots ,\,z_n$ which are in the center of $u(\frak g)$. \vskip .1in \noindent let $\frak p_n$ be a parabolic subalgebra in $\frak g$ isomorphic to $\frak{gl}(n)\times \bbb{r}^n$ (the stabilizer of a non-zero row vector in the standard realization). the crucial fact is that $d(\frak p_n)$ contains $2n$ elements satisfying canonical commutation relations such that their centralizer is isomorphic to $d(\frak p_{n-1})$.