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Invariant Theory for Non-Associative Real Two-Dimensional Algebras and Its Applications
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Two-dimensional quotients of Cn are isomorphic to C2/Γ
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We will prove that any two-dimensional quotient of an affine space modulo a reductive algebraic group is isomorphic to a quotient of C2 modulo a finite group.
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More precisely, if $T\subset X$ is the two-dimensional torus contained in X, we compute the rational equivariant Chow ring $A_T^*({\mathbb H}^d(X))_{\mathbb Q}$ and the usual Chow ring is an explicit quotient of the equivariant Chow ring.
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In the early 1960s research into radar signal synthesis produced important formulas describing the action of the two-dimensional Fourier transform on auto- and crossambiguity surfaces.
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