Gabriel, Peter 1933
Overview
Works:  78 works in 421 publications in 10 languages and 5,500 library holdings 

Genres:  Conference papers and proceedings Motion picture music Passion music Rock music History Film soundtracks Popular instrumental music Interviews Software Interactive multimedia 
Roles:  Author, Editor, Collector, Composer, Performer, Redactor, Other, Thesis advisor, Narrator, Instrumentalist, Singer 
Classifications:  QA3, 513.83 
Publication Timeline
.
Most widely held works about
Peter Gabriel
 Xplora 1 Peter Gabriel's secret world by Peter Gabriel( )
Most widely held works by
Peter Gabriel
Calculus of fractions and homotopy theory by
Peter Gabriel(
Book
)
30 editions published between 1967 and 1971 in 4 languages and held by 556 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 wellknown theorem of J. H. C. WHITEHEAD  equivalent to the category of CWcomplexes modulo homotopy, i.e. the category whose objects are spaces of the homotopy type of a CWcomplex 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 semisimplicial sets in a former terminology)
30 editions published between 1967 and 1971 in 4 languages and held by 556 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 wellknown theorem of J. H. C. WHITEHEAD  equivalent to the category of CWcomplexes modulo homotopy, i.e. the category whose objects are spaces of the homotopy type of a CWcomplex 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 semisimplicial sets in a former terminology)
Introduction to algebraic geometry and algebraic groups by
Michel Demazure(
Book
)
31 editions published between 1970 and 1980 in 5 languages and held by 522 WorldCat member libraries worldwide
31 editions published between 1970 and 1980 in 5 languages and held by 522 WorldCat member libraries worldwide
Representations of algebras : proceedings of the international conference, Ottawa 1974 by
Vlastimil Dlab(
Book
)
19 editions published in 1975 in 3 languages and held by 404 WorldCat member libraries worldwide
19 editions published in 1975 in 3 languages and held by 404 WorldCat member libraries worldwide
Primideale in Einhüllenden auflösbarer LieAlgebren. Beschreibung durch Bahnenräume by
W Borho(
Book
)
27 editions published between 1973 and 2008 in 5 languages and held by 400 WorldCat member libraries worldwide
27 editions published between 1973 and 2008 in 5 languages and held by 400 WorldCat member libraries worldwide
Lokal präsentierbare Kategorien by
Peter Gabriel(
Book
)
24 editions published between 1971 and 2008 in 4 languages and held by 392 WorldCat member libraries worldwide
24 editions published between 1971 and 2008 in 4 languages and held by 392 WorldCat member libraries worldwide
Algèbre locale, multiplicités; cours au Collège de France, 19571958 by
JeanPierre Serre(
Book
)
40 editions published between 1958 and 1997 in 5 languages and held by 389 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 SpringerVerlag 1988), the book focusses on the various dimension theories and theorems on mulitplicities of intersections with the CartanEilenberg functor Tor as the central concept. The main results are the decomposition theorems, theorems of CohenSeidenberg, the normalisation of rings of polynomials, dimension (in the sense of Krull) and characteristic polynomials (in the sense of HilbertSamuel)
40 editions published between 1958 and 1997 in 5 languages and held by 389 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 SpringerVerlag 1988), the book focusses on the various dimension theories and theorems on mulitplicities of intersections with the CartanEilenberg functor Tor as the central concept. The main results are the decomposition theorems, theorems of CohenSeidenberg, the normalisation of rings of polynomials, dimension (in the sense of Krull) and characteristic polynomials (in the sense of HilbertSamuel)
Representation theory : proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University,
August 1328, 1979 by International conference on Representations of algebras(
Book
)
16 editions published between 1980 and 1986 in English and held by 317 WorldCat member libraries worldwide
16 editions published between 1980 and 1986 in English and held by 317 WorldCat member libraries worldwide
Representation theory II : proceedings of the Second International Conference on Representations of Algebras, Ottawa, Carleton
University, August 1325, 1979 by
Vlastimil Dlab(
Book
)
18 editions published between 1980 and 2008 in English and German and held by 225 WorldCat member libraries worldwide
18 editions published between 1980 and 2008 in English and German and held by 225 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 220 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
19 editions published between 1996 and 2001 in 3 languages and held by 220 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 1625, 1984 by International Conference on Representations of Algebras(
Book
)
4 editions published in 1986 in English and held by 199 WorldCat member libraries worldwide
4 editions published in 1986 in English and held by 199 WorldCat member libraries worldwide
Representation theory I : proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University,
August 1318, 1979 by
Vlastimil Dlab(
Book
)
20 editions published in 1980 in English and German and held by 191 WorldCat member libraries worldwide
20 editions published in 1980 in English and German and held by 191 WorldCat member libraries worldwide
Representations of finitedimensional algebras by
Peter Gabriel(
Book
)
13 editions published between 1991 and 1997 in English and held by 176 WorldCat member libraries worldwide
13 editions published between 1991 and 1997 in English and held by 176 WorldCat member libraries worldwide
Passion music for The last temptation of Christ, a film by Martin Scorsese by
Peter Gabriel(
Recording
)
14 editions published between 1989 and 2010 in 4 languages and held by 129 WorldCat member libraries worldwide
14 editions published between 1989 and 2010 in 4 languages and held by 129 WorldCat member libraries worldwide
Representation theory I : Finite dimensional algebras by
Vlastimil Dlab(
)
12 editions published in 1986 in English and held by 111 WorldCat member libraries worldwide
12 editions published in 1986 in English and held by 111 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 1625, 1984 by
Vlastimil Dlab(
)
12 editions published in 1986 in English and held by 111 WorldCat member libraries worldwide
12 editions published in 1986 in English and held by 111 WorldCat member libraries worldwide
Groupes algébriques by
Michel Demazure(
Book
)
8 editions published in 1970 in French and Undetermined and held by 37 WorldCat member libraries worldwide
8 editions published in 1970 in French and Undetermined and held by 37 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
8 editions published between 1961 and 1962 in French and Undetermined and held by 22 WorldCat member libraries worldwide
Schémas en groupes (SGA 3). Séminaire de géométrie algébrique du Bois Marie 196264 by Séminaire de géométrie algébrique(
Book
)
1 edition published in 2011 in French and held by 19 WorldCat member libraries worldwide
1 edition published in 2011 in French and held by 19 WorldCat member libraries worldwide
Representations des groupes lineaires by
Peter Gabriel(
Book
)
4 editions published in 1970 in Dutch and French and held by 17 WorldCat member libraries worldwide
4 editions published in 1970 in Dutch and French and held by 17 WorldCat member libraries worldwide
Xplora 1 Peter Gabriel's secret world by
Peter Gabriel(
)
12 editions published between 1993 and 1995 in 3 languages and held by 13 WorldCat member libraries worldwide
Explores the life and work of rock musician Peter Gabriel. It includes 100 min. of videos including music videos, about 30 min. of audio including music & interviews, text, computer art, and still images
12 editions published between 1993 and 1995 in 3 languages and held by 13 WorldCat member libraries worldwide
Explores the life and work of rock musician Peter Gabriel. It includes 100 min. of videos including music videos, about 30 min. of audio including music & interviews, text, computer art, and still images
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Related Identities
 Dlab, Vlastimil Other Author Editor
 Demazure, Michel Publishing director Author
 Michler, G. (Gerhard) 1938 Other Editor
 Zisman, Michel
 Borho, W. (Walter) 1945 Author
 Rentschler, Rudolf 1940
 Serre, JeanPierre 1926 Author Collector
 Ulmer, Friedrich
 Roĭter, A. V. (Andreĭ Vladimirovich) 1937
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Associated Subjects
Abelian categories Abelian groups Algebra Algebraic fields Algebraic topology Algebras, Linear Art and music Artists Associative algebras Categories (Mathematics) Computer games Dimension theory (Algebra) England Finite groups Gábriel, Péter Gabriel, Peter, Geometry Geometry, Algebraic Group theory Homology theory Homotopy theory Ideals (Algebra) Learning by discovery Lie algebras Linear algebraic groups Local rings Logic, Symbolic and mathematical Mathematics Matrices Mixed media (Music) Modules (Algebra) Motion picture music Ordered groups Passion music Representations of algebras Representations of groups Rings (Algebra) Rock music Rock musicians
Alternative Names
Gabriel, P.
Gabriel, P. 1933
Gabriel, P. (Peter), 1933
Gabriel, Peter, 1933
Gabriel, Pierre.
Gabriel, Pierre, 1933
Pierre Gabriel fransk matematikar
Pierre Gabriel fransk matematiker
Pierre Gabriel franzsischer Mathematiker
Pierre Gabriel French mathematician
Габриель, П..
پییر گابریل ریاضیدان فرانسوی
Languages
English
(185)
French (67)
German (55)
Russian (6)
Dutch (3)
Italian (2)
Germanic (2)
Spanish (1)
Danish (1)
Greek, Modern (1)
French (67)
German (55)
Russian (6)
Dutch (3)
Italian (2)
Germanic (2)
Spanish (1)
Danish (1)
Greek, Modern (1)
Covers