Linear vector fields and exponential law

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The paper is devoted to vector fields on the spaces R^2 and R^3, their flow and invariants. Attention is plaid on the tensor representations of the group GL(2,R) and on fundamental vector fields. The rotation group on R^3 is generalized to rotation groups with arbitrary quadrics as orbits.
22 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For other papers on the same topic, view the publication pages at http://theo.inrne.bas.bg/~bozho/

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