Yangian Double of Strange Lie Superalgebra Qn and its Central Extension: Basic results and formulas for Universal R-matrix

double DY (Qn) and the central extension of quantum double are described as a results of quantization of twisted current Lie superbialgebras of polyno-mial currents, of Laurant currents and its central extension, correspondingly. Two systems of generators and defining relations for Yangian are introduced. Equivalence of this systems of generators and defining relations is proved. PBW theorem is formulated and proved. The double of Yangian and its central extension are described in terms of generators and defining rela-tions. Formulas for universal R-matrix for double of Yangian and its central extension are computed. It is well-known that Lie superalgebras of classical type divided on two classes: basic and strange Lie superalgebras (see [6]). The Lie superalge-bras from first class have characteristics like as simple Lie algebras. They have a nondegenerate invariant bilinear form (and nontrivial Casimir op-erator). This characteristic make possible to define Yangian of basic Lie superalgebra as Yangian of simple Lie algebra as a quantization of cur