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Some prehomogeneous vector spaces with relative invariants of degree four and the formula of the Fourier transforms
In this article, we shall investigate the relative invariant f(x) of.a regular prehomogeneous vector space (G, V) when it is one of the ollowing ones 1) SL( 6) GL(1) (A3 A1), 2) Sp(3) GL(1) (A3 A1), 3) Spin( 12) GL(1) ((half-spin rep.)A), 4) E7 GL(1) ((56 dim.rep.)Ax),where A is the …