Journal ArticleDOI
On the axiomatic foundations of the theory of Hermitian forms
Charles Terence Clegg Wall
- Vol. 67, Iss: 2, pp 243-250
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In this article, the authors formulate both these definitions in somewhat more general terms, and show that they are equivalent, which is a major objective of this paper. But they do not consider quadratic forms over division rings.Abstract:
In recent work on some topological problems (7), I was forced to adopt a complicated definition of ‘Hermitian form’ which differed from any in the literature. A recent paper by Tits(5) on quadratic forms over division rings contains a new and simple definition of these. A major objective of this paper is to formulate both these definitions in somewhat more general terms, and to show that they are equivalent.read more
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Surgery on compact manifolds
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The Algebraic Theory of Surgery I. Foundations
TL;DR: In this paper, an n-dimensional algebraic Poincare complex over a ring A with an involution was used to define two sequences of covariant functors Ln {Ln}: (rings with involution) -+ (abelian groups) (n E Z).
Journal ArticleDOI
Localisation de formes quadratiques. II
TL;DR: Gauthier-Villars as discussed by the authors implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).
Journal ArticleDOI
On the Classification of Hermitian Forms
TL;DR: In this article, the basic relations between the algebraic K- and L-theory of R and /~ were obtained, where objects are discussed and morphisms are discussed.
Journal ArticleDOI
Schémas en groupes et immeubles des groupes classiques sur un corps local. II : groupes unitaires
François Bruhat,Jacques Tits +1 more
TL;DR: In this article, a concrète interprétation of a reductive group over a local field is given, where "concrète" means "relatcd to thé natural représentation of G".
References
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Journal ArticleDOI
Quadratic forms on finite groups, and related topics
TL;DR: In this article, the results of a series of investigations of classification problems in differential topology have been presented, which are algebraic in more detail than we shall actually need for the application.