  Spinor representation of group GL(4,R) on special spinor space is developed.
Representation space has a structure of the fiber space with the space of
diagonal metricses as the base and standard spinor space as typical fiber.
  Non-isometric motions of the space-time entail spinor transformations which
are represented by translation over fibering base in addition to standard
$Spin(4,C)$ representation.
