Lattices and infinite-dimensional forms. `The lattice method'

DOI10.1007/BF00337887zbMath0643.06005MaRDI QIDQ1101473

Herbert Gross

Publication date: 1987

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

orbitsorthogonal groupinvolutionsorthogonal geometrylattice methodcardinal number invariantscomputation of lattices

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Quadratic and bilinear forms, inner products (15A63) Modular lattices, Desarguesian lattices (06C05) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (6)

Algebras of bounded operators on nonclassical orthomodular spaces ⋮ Hermitean (semi) lattices and Rolf's lattice ⋮ On the congruence problem in infinite dimensional sesquilinear spaces ⋮ Obituary: Herbert Gross ⋮ Bibliography on quantum logics and related structures ⋮ Acyclic modular lattices and their representations

Cites Work

• Subspaces in Hermitean spaces of countable dimension
• Lattice problems originating in quadratic space theory
• Modular lattices and Hermitean forms
• The classification of subspaces in Hermitean vector spaces
• On the non-trace-valued forms
• The lattice method in the theory of quadratic spaces of non-denumerable dimensions
• Subspaces of positive definite inner product spaces of countable dimension
• Isomorphisms between lattices of linear subspaces which are induced by isometries
• Inner product spaces of infinite dimension; on the lattice method
• Quadratic forms in infinite dimensional vector spaces
• Metabolische und Wittsche Zerlegungen in \(\aleph _ 0\)-dimensionalen Hermiteschen Räumen. (Metabolic and Witt decompositions in \(\aleph _ 0\)-dimensional Hermitian spaces)
• Bilinear forms on \(k\)-vectorspaces of denumerable dimension in the case of \(\text{char}(k) = 2\)
• The sublattice of an orthogonal pair in a modular lattice
• On the problem of classifying infinite chains in projective and orthogonal geometry
• Linear topologies and sesquilinear forms
• On Witt's Theorem in the Denumerably Infinite Case
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