WorldCat Identities

Gabriel, Peter 1933-

Overview
Works: 51 works in 364 publications in 9 languages and 5,354 library holdings
Genres: Conference papers and proceedings  History 
Roles: Author, Editor, Redactor, Collector, Other
Classifications: QA3, 513.83
Publication Timeline
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Most widely held works by Peter Gabriel
Representation theory : proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13-28, 1979 by Vlastimil Dlab( Book )

90 editions published between 1980 and 1986 in English and German and held by 762 WorldCat member libraries worldwide

Calculus of fractions and homotopy theory by Peter Gabriel( Book )

26 editions published between 1967 and 1971 in 4 languages and held by 552 WorldCat member libraries worldwide

The main purpose of the present work is to present to the reader a particularly nice category for the study of homotopy, namely the homo topic category (IV). This category is, in fact, - according to Chapter VII and a well-known theorem of J.H.C. WHITEHEAD - equivalent to the category of CW-complexes modulo homotopy, i.e. the category whose objects are spaces of the homotopy type of a CW-complex and whose morphisms are homotopy classes of continuous mappings between such spaces. It is also equivalent (I, 1.3) to a category of fractions of the category of topological spaces modulo homotopy, and to the category of Kan complexes modulo homotopy (IV). In order to define our homotopic category, it appears useful to follow as closely as possible methods which have proved efficacious in homo logical algebra. Our category is thus the" topological" analogue of the derived category of an abelian category (VERDIER). The algebraic machinery upon which this work is essentially based includes the usual grounding in category theory - summarized in the Dictionary - and the theory of categories of fractions which forms the subject of the first chapter of the book. The merely topological machinery reduces to a few properties of Kelley spaces (Chapters I and III). The starting point of our study is the category,10 Iff of simplicial sets (C.S.S. complexes or semi-simplicial sets in a former terminology)
Representations of algebras : proceedings of the international conference, Ottawa 1974 by Vlastimil Dlab( Book )

30 editions published between 1974 and 2008 in 3 languages and held by 422 WorldCat member libraries worldwide

Lokal präsentierbare Kategorien by Peter Gabriel( Book )

24 editions published in 1971 in 4 languages and held by 385 WorldCat member libraries worldwide

Algèbre locale, multiplicités; cours au Collège de France, 1957-1958 by Jean-Pierre Serre( Book )

38 editions published between 1965 and 1997 in 5 languages and held by 380 WorldCat member libraries worldwide

This edition reproduces the 2nd corrected printing of the 3rd edition of the now classic notes by Professor Serre, long established as one of the standard introductory texts on local algebra. Referring for background notions to Bourbaki's "Commutative Algebra" (English edition Springer-Verlag 1988), the book focusses on the various dimension theories and theorems on mulitplicities of intersections with the Cartan-Eilenberg functor Tor as the central concept. The main results are the decomposition theorems, theorems of Cohen-Seidenberg, the normalisation of rings of polynomials, dimension (in the sense of Krull) and characteristic polynomials (in the sense of Hilbert-Samuel)
Primideale in Einhüllenden auflösbarer Lie-Algebren. Beschreibung durch Bahnenräume by W Borho( Book )

4 editions published in 1973 in German and English and held by 333 WorldCat member libraries worldwide

Introduction to algebraic geometry and algebraic groups by Michel Demazure( Book )

14 editions published in 1980 in English and Dutch and held by 288 WorldCat member libraries worldwide

Groupes algébriques by Michel Demazure( Book )

27 editions published in 1970 in 4 languages and held by 285 WorldCat member libraries worldwide

Matrices, géométrie, algèbre linéaire by Peter Gabriel( Book )

19 editions published between 1996 and 2001 in 3 languages and held by 229 WorldCat member libraries worldwide

Der heutige Hochschulunterricht für Mathematiker gründet meist auf Abstraktion und führt vom Allgemeinen zum Speziellen. Die Methode hat Vorteile, sie stärkt das Denkvermögen und meidet lästige Wiederholungen. Doch sie "stellt den Pflug vor die Ochsen", weil Abstraktion auf Spezialfälle baut, die dem Lernenden oft fremd sind. So bleibt der Erfolg den Glücklichen vorbehalten, die den Weg von der Abstraktion zu den Beispielen finden. Dieses Lehrbuch führt von zwei Spezialfällen zur Allgemeinheit und gründet nicht auf Abstraktion. Die Beweise der abstrakten Algebra werden zuerst am konkreten Beispiel der Matrizen vorgeführt. Zur Schärfung der Anschauung wird dann die Begriffswelt der Elementargeometrie durchleuchtet. Die Auseinandersetzung mit dem Lehrstoff der Schule dient der Vorbereitung auf die geometrisch gefärbte Sprache der linearen Algebra, die am Ende des Buches erläutert wird. Dem Text sind Anwendungsbeispiele und zahlreiche historische Kommentare beigefügt
Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984 by International Conference on Representations of Algebras( Book )

4 editions published in 1986 in English and held by 195 WorldCat member libraries worldwide

Representations of finite-dimensional algebras by Peter Gabriel( Book )

1 edition published in 1997 in English and held by 146 WorldCat member libraries worldwide

Representation Theory II Groups and Orders : Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984 by Vlastimil Dlab( )

2 editions published in 1986 in English and held by 64 WorldCat member libraries worldwide

Representation Theory I : Proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13 - 18, 1979 by Vlastimil Dlab( )

2 editions published in 1980 in English and held by 64 WorldCat member libraries worldwide

Representation Theory II Proceedings of the Second International Conference on Representations of Algebras Ottawa, Carleton University, August 13 - 25, 1979 by Vlastimil Dlab( )

1 edition published in 1980 in English and held by 30 WorldCat member libraries worldwide

Proceedings of the International Conference on Representations of Algebras (Carleton University, Ottawa, 1974) by Vlastimil Dlab( Book )

9 editions published between 1974 and 1975 in English and held by 22 WorldCat member libraries worldwide

Des categories abeliennes by Peter Gabriel( Book )

8 editions published between 1961 and 1962 in French and Undetermined and held by 22 WorldCat member libraries worldwide

Schémas en groupes; séminaire de géométrie algébrique du Bois Marie, 1962/64, SGA 3 by Michel Demazure( Book )

2 editions published in 2011 in French and held by 20 WorldCat member libraries worldwide

Representations des groupes lineaires by Peter Gabriel( Book )

5 editions published in 1970 in 3 languages and held by 18 WorldCat member libraries worldwide

Representation theory I-II by Workshop on the Present Trends in Representation Theory( Book )

2 editions published in 1980 in English and held by 2 WorldCat member libraries worldwide

 
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Representations of algebras : proceedings of the international conference, Ottawa 1974
Alternative Names
Gabriel, P.

Gabriel, P. 1933-

Gabriel, P. (Peter)

Gabriel, P. (Peter), 1933-

Gabriel, Peter, 1933-

Gabriel, Pierre.

Gabriel, Pierre 1933-

Pierre Gabriel Frans wiskundige (1933-2015)

Pierre Gabriel fransk matematikar

Pierre Gabriel fransk matematiker

Pierre Gabriel französischer Mathematiker

Pierre Gabriel French mathematician

Габриель, П..

Габриэль, Пьер

پی‌یر گابریل ریاضی‌دان فرانسوی

Languages
Covers
Representations of algebras : proceedings of the international conference, Ottawa 1974Lokal präsentierbare KategorienAlgèbre locale, multiplicités; cours au Collège de France, 1957-1958Primideale in Einhüllenden auflösbarer Lie-Algebren. Beschreibung durch BahnenräumeIntroduction to algebraic geometry and algebraic groupsMatrices, géométrie, algèbre linéaireRepresentations of finite-dimensional algebrasRepresentation Theory II Groups and Orders : Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984