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Integral transformations connected with straight line complexes in
Complexes of dimensional planes in the space C and Plancherels
Differential forms and integral geometry with M I Graev
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active admissible affine arbitrary basis bundle characteristic classes cochain coefficients cohomologies coincides combinatorial complex configuration connected consider constructed coordinates cooriented corresponding cultures cycle decomposition defined definition degree denote depend differential form dimension dimensional Dokl edge element equal equation equivalent example fiber fibroblasts finite fixed foliation given Grassmann manifold Grassmannian group G Hence homogeneous homology homomorphism hypergeometric functions hyperplanes hypersimplex I. M. Gel'fand induced integral geometry intersection invariant inversion formula isomorphism Lemma Lie algebra linear lines manifold mapping Math matrix matroid neurons obtain operator orientation p-dimensional pair permutations planes polynomial problem projective Proof Proposition prove pseudopods Radon transform random relation respect result satisfying the condition smooth space spectral sequence stratum structure subgroup submanifold subset subspace substrate surface tangent Theorem tion transformed cells trivial values variables vector bundle vector fields zero