La Harpe, Pierre de
Overview
Works:  106 works in 279 publications in 4 languages and 2,803 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA3, 512.55 
Publication Timeline
.
Most widely held works by
Pierre de La Harpe
Classical BanachLie algebras and BanachLie groups of operators in Hilbert space by
Pierre de La Harpe(
Book
)
26 editions published between 1972 and 2008 in English and German and held by 449 WorldCat member libraries worldwide
26 editions published between 1972 and 2008 in English and German and held by 449 WorldCat member libraries worldwide
Algèbres d'opérateurs : Séminaire sur les algèbres d'opérateurs, LesPlanssurBex, Suisse, 1318 mars 1978 by
Pierre de La Harpe(
Book
)
26 editions published in 1979 in 4 languages and held by 428 WorldCat member libraries worldwide
26 editions published in 1979 in 4 languages and held by 428 WorldCat member libraries worldwide
Topics in geometric group theory by
Pierre de La Harpe(
Book
)
17 editions published between 1996 and 2003 in English and held by 376 WorldCat member libraries worldwide
"Groups as abstract structures were first recognized by mathematicians in the nineteenth century. Groups are, of course, sets given with appropriate "multiplications," and they are often given together with actions on interesting geometric objects. But groups are also interesting geometric objects by themselves. More precisely, a finitelygenerated group can be seen as a metric space, the distance between two points being defined "up to quasiisometry" by some "word length," and this gives rise to a very fruitful approach to group theory." "In this book, Pierre de la Harpe provides a concise and engaging introduction to this approach, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe uses a handson presentation style, illustrating key concepts of geometric group theory with numerous concrete examples." "The first five chapters present basic combinatorial and geometric group theory in a unique way, with an emphasis on finitelygenerated versus finitelypresented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group," an infinite finitelygenerated torsion group of intermediate growth which is becoming more and more important in group theory. Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research questions in the field. An extensive list of references directs readers to more advanced results as well as connections with other subjects. Book jacket."Jacket
17 editions published between 1996 and 2003 in English and held by 376 WorldCat member libraries worldwide
"Groups as abstract structures were first recognized by mathematicians in the nineteenth century. Groups are, of course, sets given with appropriate "multiplications," and they are often given together with actions on interesting geometric objects. But groups are also interesting geometric objects by themselves. More precisely, a finitelygenerated group can be seen as a metric space, the distance between two points being defined "up to quasiisometry" by some "word length," and this gives rise to a very fruitful approach to group theory." "In this book, Pierre de la Harpe provides a concise and engaging introduction to this approach, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe uses a handson presentation style, illustrating key concepts of geometric group theory with numerous concrete examples." "The first five chapters present basic combinatorial and geometric group theory in a unique way, with an emphasis on finitelygenerated versus finitelypresented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group," an infinite finitelygenerated torsion group of intermediate growth which is becoming more and more important in group theory. Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research questions in the field. An extensive list of references directs readers to more advanced results as well as connections with other subjects. Book jacket."Jacket
Coxeter graphs and towers of algebras by
Frederick M Goodman(
Book
)
18 editions published between 1987 and 1989 in English and held by 313 WorldCat member libraries worldwide
A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras. It was discovered soon after the appearance of this paper that certain algebras which are used there for the analysis of subfactors could also be used to define a new polynomial invariant for links. Recent efforts to understand the fundamental nature of the new link invariants has led to connections with invariant theory, statistical mechanics and quantum theory. In turn, the link invariants, the notion of a quantum group, and the quantum YangBaxter equation have had a great impact on the study of subfactors. Our subject is certain algebraic and von Neumann algebraic topics closely related to the original paper. However, in order to promote, in a modest way, the contact between diverse fields of mathematics, we have tried to make this work accessible to the broadest audience. Consequently, this book contains much elementary expository material
18 editions published between 1987 and 1989 in English and held by 313 WorldCat member libraries worldwide
A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras. It was discovered soon after the appearance of this paper that certain algebras which are used there for the analysis of subfactors could also be used to define a new polynomial invariant for links. Recent efforts to understand the fundamental nature of the new link invariants has led to connections with invariant theory, statistical mechanics and quantum theory. In turn, the link invariants, the notion of a quantum group, and the quantum YangBaxter equation have had a great impact on the study of subfactors. Our subject is certain algebraic and von Neumann algebraic topics closely related to the original paper. However, in order to promote, in a modest way, the contact between diverse fields of mathematics, we have tried to make this work accessible to the broadest audience. Consequently, this book contains much elementary expository material
Sur les groupes hyperboliques d'après Mikhael Gromov by
E Ghys(
Book
)
15 editions published between 1989 and 1990 in 3 languages and held by 261 WorldCat member libraries worldwide
 Qa faut avouer, dit Trouscaillon qui, dans cette simple ellipse, utilisait hyperboliquement Ie cercle vicieux de la parabole.  Bun, dit Ie Sanctimontronais, j'y vais. (R. Queneau, Zazie dans Ie metru, Chapitre X.) L'etude des groupes infinis a toujours ete en relation etroite avec des considerations geometriques: etude des deplacements de l'espace euclidien R3 (Jordan, 1868), programme d'Erlangen (Klein, 1872), travaux de Lie et Poincare. L'approche combinatoire des groupes, fondee sur la notion de presentation, remonte a Dyck (1882) mais doit son developpement en premier lieu a Dehn (des 1910) (voir [ChM]). Les resultats decisifs de Dehn sur les groupes fondamentaux des sur faces sont marques par un ingredient geometrique crucial qui est la couTbuTe negati·ve. C'est ce meme ingredient qui est ala base du tra vail fondamental de Gromov sur les groupes hyperboliques, conune on Ie voit esquisse dans [Gr2, Gr4] et repris dans [Gr5]. Nous sonuues cOllvaincus que l'importance de ce travail dans Ie developpement. de la theorie des groupes est comparable it ceux deja cites de Klein et Dehll
15 editions published between 1989 and 1990 in 3 languages and held by 261 WorldCat member libraries worldwide
 Qa faut avouer, dit Trouscaillon qui, dans cette simple ellipse, utilisait hyperboliquement Ie cercle vicieux de la parabole.  Bun, dit Ie Sanctimontronais, j'y vais. (R. Queneau, Zazie dans Ie metru, Chapitre X.) L'etude des groupes infinis a toujours ete en relation etroite avec des considerations geometriques: etude des deplacements de l'espace euclidien R3 (Jordan, 1868), programme d'Erlangen (Klein, 1872), travaux de Lie et Poincare. L'approche combinatoire des groupes, fondee sur la notion de presentation, remonte a Dyck (1882) mais doit son developpement en premier lieu a Dehn (des 1910) (voir [ChM]). Les resultats decisifs de Dehn sur les groupes fondamentaux des sur faces sont marques par un ingredient geometrique crucial qui est la couTbuTe negati·ve. C'est ce meme ingredient qui est ala base du tra vail fondamental de Gromov sur les groupes hyperboliques, conune on Ie voit esquisse dans [Gr2, Gr4] et repris dans [Gr5]. Nous sonuues cOllvaincus que l'importance de ce travail dans Ie developpement. de la theorie des groupes est comparable it ceux deja cites de Klein et Dehll
Kazhdan's property (T) by
M. Bachir Bekka(
Book
)
12 editions published in 2008 in English and held by 192 WorldCat member libraries worldwide
A comprehensive introduction to the role of Property (T), with applications to an amazing number of fields within mathematics
12 editions published in 2008 in English and held by 192 WorldCat member libraries worldwide
A comprehensive introduction to the role of Property (T), with applications to an amazing number of fields within mathematics
La propriété (T) de Kazhdan pour les groupes localement compacts by
Pierre de La Harpe(
Book
)
15 editions published between 1988 and 1989 in French and English and held by 172 WorldCat member libraries worldwide
15 editions published between 1988 and 1989 in French and English and held by 172 WorldCat member libraries worldwide
Oeuvres. Accompagnées d'une notice sur sa vie et sur ses ouvrages by
JeanFrançois de La Harpe(
Book
)
13 editions published in 1968 in French and held by 13 WorldCat member libraries worldwide
13 editions published in 1968 in French and held by 13 WorldCat member libraries worldwide
Optimal Transport : Old and New by M Berger(
)
1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide
Georges de Rham : 19031990(
Book
)
3 editions published in 1995 in French and held by 10 WorldCat member libraries worldwide
Analyse: Portrait du mathématicien et alpiniste vaudois complété par différents récits évoquant sa carrière scientifique et ses souvenirs d'escalade
3 editions published in 1995 in French and held by 10 WorldCat member libraries worldwide
Analyse: Portrait du mathématicien et alpiniste vaudois complété par différents récits évoquant sa carrière scientifique et ses souvenirs d'escalade
An introduction to C*algebras by
Pierre de La Harpe(
Book
)
5 editions published in 1995 in English and French and held by 9 WorldCat member libraries worldwide
5 editions published in 1995 in English and French and held by 9 WorldCat member libraries worldwide
Essays on geometry and related topics : mémoires dédiés à André Haefliger by
E Ghys(
Book
)
4 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide
This monograph contains 22 original papers dedicated to André Haefliger by some of his mathematician friends
4 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide
This monograph contains 22 original papers dedicated to André Haefliger by some of his mathematician friends
Théorie ergodique : Séminaire de théorie ergodique, Les PlanssurBex, 2329 mars 1980 by Séminaire de théorie ergodique(
Book
)
4 editions published in 1981 in French and held by 7 WorldCat member libraries worldwide
4 editions published in 1981 in French and held by 7 WorldCat member libraries worldwide
Classical BanachLie Algebras and BanachLie Groups of Operators in Hilbert Space by
Pierre de La Harpe(
)
1 edition published in 1972 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1972 in English and held by 5 WorldCat member libraries worldwide
Some groups whose reduced C*Algebra is simple by
M. Bachir Bekka(
Book
)
3 editions published in 1993 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1993 in English and held by 5 WorldCat member libraries worldwide
Some groups whose reduced Calgebras have stable rank one by Kenneth J Dykema(
Book
)
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
Introduzione all'aritmetica delle algebre di quaternioni ; Metodi di simulazione, meccanica stocastica, teoria dei grafi e
applicazioni ; Teoria dei quanti : fondamenti e problemi attuali(
Book
)
1 edition published in 1991 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 1991 in French and held by 3 WorldCat member libraries worldwide
On exactness of group $ C^ * $ algebras by
Pierre de La Harpe(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
Dynkin diagrams and towers of algebras : matrices over natural numbers : values of the norms, classification, and variations by
F Goodman(
Book
)
2 editions published in 1986 in French and English and held by 2 WorldCat member libraries worldwide
2 editions published in 1986 in French and English and held by 2 WorldCat member libraries worldwide
Algebres D'operateurS. Seminaire Sur les AlgebreS ... Lcn 725 by
Pierre de La Harpe(
)
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
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Associated Subjects
Algebra Banach algebras Class field towers Combinatorial group theory Coxeter graphs Differential equations, Partial Ergodic theory Geometric group theory Geometry Geometry, Algebraic Global differential geometry Group theory Haefliger, André Hilbert space Hyperbolic groups Lie algebras Lie groups Linear algebraic groups Locally compact groups Mathematical optimization Mathematics Operator algebras Representations of groups Riemannian manifolds Topological groups
Alternative Names
Arp, P. de lja.
De lâ Arp, P.
De la Harpe, Pierre.
Harpe, P. de la
Harpe, Pierre de la
La Harpe, P. de
La Harpe, P. de (Pierre)
LaHarpe, Pierre de
Lja Arp, P'er de.
Pierre de la Harpe Schweizer Mathematiker
Pierre de La Harpe wiskundige uit Zwitserland
Pierre La Harpe Swiss mathematician
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