Constantin USENKO  and  Bohdan LEV
Chair of Theoretical Physics,
Department of Physics,
Kyiv National Shevchenko University,
2,b1, acad. Glushkova prospect,
Kyiv, Ukraine
E-mail: usenko@phys.univ.kiev.ua, usenko@ups.kiev.ua, lev@iop.kiev.ua, blev@i.kiev.ua

Spinor representation of Lie algebra for complete linear group

Abstract:
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.