References
Part I Titles referred to in this paper
G.Birkhoff,Lattice theory. AMS Coll. Publ. XXV (3rd ed., 2nd print), Providence. R.I. (1973).
G. Grätzer,General lattice theory. Birkhäuser Math. Reihe Bd. 52. Birkhäuser Verlag, Basel (1978).
H.Gross,Algunos reticulados cuadráticos y cómo se los calcula. Preprint (1982). Contained in Notas Mathemáticas, IMUC No. 16, Santiago de Chile (1984) pp. 1–45.
Z. Lomecky,Algorithms for the computation of free lattices. In:Computer algebra. EUROCAM '82. European computer algebra conference, Marseille, France, April 1982. Lecture notes in computer science, vol. 144. Springer Verlag, Berlin, Heidelberg, New York (1982) 223–230.
R.Schuppli,Untersuchungen zu quadratischen Räumen kleiner über-abzählbarer Dimension. Ph.D. Thesis, Univ. of Zurich (1983).
R.Schuppli,The relations among indices in B 3(V). Preprint, Univ. of Zurich (1983).
Part II Papers that contain applications of the lattice method
E.Amport, Modelle für Teilraumverbände in überabzählbar dimensionalen Sesquilinearräumen. Ph.D. Thesis, Univ. of Zurich (1981).
P.Amport, Teilraumverbände in überabzählbar dimensionalen Sesquilinearräumen. Ph.D. Thesis, Univ. of Zurich (1978).
W. Bäni, Inner product spaces of infinite dimension; on the lattice method. Arch. Math. 33 (1979) 338–347.
W. Bäni,Subspaces of positive definite inner product spaces of countable dimension. Pacific J. Math.82 (1979) 1–14.
W.Bäni,Applications of the lattice method to infinite dimensional hermitean spaces. Thesis for the habilitation, Univ. of Zurich (1981) 1–119. Part I, Math. Z 184 (1983) 61–96; Part II, Math. Z 188 (1985) 287–311.
L.Brand,Erweiterungen von algebraischen Isometrien in sesquilinearen Räumen. Ph.D. Thesis, Univ. of Zurich (1974).
H. Gross,Isomorphisms between lattices of linear subspaces which are induced by isometries. J. Alg.49 (1977) 537–546.
H. Gross,Formes quadratiques et formes non traciques sur les espaces de dimension dénombrable. Bull. Soc. Math. France Mém.59 (1979) 55–68.
H. Gross,Quadratic forms in infinite dimensional vector spaces. Progress in math., vol. 1. Birkhäuser, Boston (1979).
H. Gross,The lattice method in the theory of quadratic spaces of non-denumerable dimensions. J. Alg.75 (1982) 23–42.
H. Gross andP. Haener,The sublattice of an orthogonal pair in a modular lattice. Ann. Acad. Sci. Fennicae Ser. A. I. 4 (1978/79) 31–40.
H. Gross andH. A. Keller,On the non trace-valued forms. Adv. in Math.42 (1981) 179–195.
H. Gross andH. A. Keller,On the problem of classifying infinite chains in projective and orthogonal geometry. Ann. Acad. Sci. Fennicae, Ser. A.I.8 (1983) 67–86.
L.Haapasalo,Von Vektorraumisometrien induzierte Verbandsisomorphismen zwischen nicht orthostabilen und nicht distributiven Vektorraumverbänden. Ann. Acad. Sci. Fennicae Ser. A. I. Dissertationes37 (1981).
R.Haefelin,Ueber vollständig distributive Teilraumverbände. Master's Thesis, Univ. of Zurich (1982).
R.Moresi,Studio su uno speciale reticolo consistente in sottospazi di uno spazio sesquilineare nel caso caractterististica due. Master's Thesis, Univ. of Zurich (1977).
R.Moresi,Modular lattices and hermitean forms, pp. 1–28. To appear.
M.Saartmäki,Zur Klassifikation von Paaren dichter Teilräume in hermiteschen Räumen von abzählbarer Dimension. Ann. Acad. Sci. Fennicae Ser. A. I. Dissertationes34 (1981).
M.Wild,Zur Klassifikation von Unterräumen in quadratischen Räumen kleiner überabzählbarer Dimension. Ph.D. Thesis, Univ. of Zürich. To appear.
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Gross, H., Lomecky, Z. & Schuppli, R. Lattice problems originating in quadratic space theory. Algebra Universalis 20, 267–291 (1985). https://doi.org/10.1007/BF01195138
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DOI: https://doi.org/10.1007/BF01195138