Constantin USENKO  and  Bohdan LEV
Chair of Theoretical Physics,
Department of Physics,
Kyiv National Shevchenko University,
2,b1, acad. Glushkova prospect,
Kyiv, Ukraine

Spinor representation of Lie algebra for complete linear group

Complete linear group is the stratified manifold, with isometric strata and space of nondegenerate symmetric tensors as a base. Each stratum has its own representation on the corresponding spinor space. Representation space is constructed as manifold with the same base and spinor spaces as strata.