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The line geometric model of 3-D projective geometry has the nice property that the Lie algebra sl(4) of 3-D projective transformations is isomorphic to the bivector algebra of Cl(3, 3), and line geometry is closely related to the classical screw theory for 3-D rigid-body motions. The canonical homomorphism from SL(4) to Spin(3, 3) is not satisfying because… (More)

In this paper, we propose an <i>SL</i>(<i>n</i>)-invariant division of <i>SL</i>(<i>n</i>)-invariant polynomials by establishing an admissible order among the invariant polynomials in normal form. The invariant division leads to an invariant Gröbner basis theory.
The invariant division is closely related to multivariate coordinate polynomial division.… (More)

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