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Lattices and infinite-dimensional forms. ‘The Lattice Method’

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Abstract

Hermitean vector spaces E of infinite dimensions are considered. Let G be a subgroup of the orthogonal group of E acting on a set M. The ‘Lattice Method’ is a technique for classifying the orbits in M under G. We discuss the method in abstract terms and we illustrate it by means of three classification results showing that it is decisive to do a considerable amount of explicit calculations with vector subspace lattices.

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Communicated by R. Wille

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Gross, H. Lattices and infinite-dimensional forms. ‘The Lattice Method’. Order 4, 233–256 (1987). https://doi.org/10.1007/BF00337887

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