Geodesic
Geometrical structure of the base and twisting of the graded fibre bundles used in modeling gravitation and elementary particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 16-35

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To deseribe the unification of the fundamental interactions of elementary particles and gravitation the graded bundle mathematical structure $\zeta$ is needed. Its base $B$ is the 9-dimensional graded space having one scalar, four spinor and four vector dimensions. One-parametric family of the Poincaré group $1P$ is found. It is shown that any group of this family acts on its invariant subgroup and on the base $B$ in different ways. This situation is different from the classical one and point out at the nontriviality of the $\zeta$-bundle geometrical properties. The problem of twisting is discussed. 
@article{TMF_1996_108_1_a1,
     author = {V. T. Berezin},
     title = {Geometrical structure of the base and twisting of the graded fibre bundles used in modeling gravitation and elementary particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {16--35},
     publisher = {mathdoc},
     volume = {108},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a1/}
}
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V. T. Berezin. Geometrical structure of the base and twisting of the graded fibre bundles used in modeling gravitation and elementary particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 16-35. http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a1/