V. F. R. Jones :
“An invariant for group actions 237–253
in
Algèbres d’opérateurs
[Operator algebras ]
(Les Plans-sur-Bex, France, 13–18 March 1978 ).
Edited by P. de la Harpe .
Lecture Notes in Mathematics 725 .
Springer (Berlin ),
1979 .
MR
548118 Zbl
0497.46044 incollection
People
BibTeX
@incollection {key548118m,
AUTHOR = {Jones, V. F. R.},
TITLE = {An invariant for group actions},
BOOKTITLE = {Alg\`ebres d'op\'erateurs [Operator
algebras]},
EDITOR = {de la Harpe, Pierre},
SERIES = {Lecture Notes in Mathematics},
NUMBER = {725},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1979},
PAGES = {237--253},
DOI = {10.1007/BFb0062620},
NOTE = {(Les Plans-sur-Bex, France, 13--18 March
1978). MR:548118. Zbl:0497.46044.},
ISSN = {0075-8434},
ISBN = {9783540351627},
}
F. Goodman, P. de la Harpe, and V. Jones :
“Classification des matrices entières non négatives de petites normes ”
[Classification of non-negative integral matrices with small norms ],
C. R. Acad. Sci., Paris, Sér. I
300 : 14
(1985 ),
pp. 463–465 .
MR
788972 Zbl
0624.15013 article
People
BibTeX
@article {key788972m,
AUTHOR = {Goodman, Fred and de la Harpe, Pierre
and Jones, Vaughan},
TITLE = {Classification des matrices enti\`eres
non n\'egatives de petites normes [Classification
of non-negative integral matrices with
small norms]},
JOURNAL = {C. R. Acad. Sci., Paris, S\'er. I},
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences.
S\'erie I},
VOLUME = {300},
NUMBER = {14},
YEAR = {1985},
PAGES = {463--465},
NOTE = {MR:788972. Zbl:0624.15013.},
ISSN = {0764-4442},
}
F. M. Goodman, P. de la Harpe, and V. F. R. Jones :
Coxeter graphs and towers of algebras MSRI Publications 14 .
Springer (New York ),
1989 .
MR
999799 Zbl
0698.46050 book
People
BibTeX
@book {key999799m,
AUTHOR = {Goodman, Frederick M. and de la Harpe,
Pierre and Jones, Vaughan F. R.},
TITLE = {Coxeter graphs and towers of algebras},
SERIES = {MSRI Publications},
NUMBER = {14},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1989},
PAGES = {vi + 288},
DOI = {10.1007/978-1-4613-9641-3},
NOTE = {MR:999799. Zbl:0698.46050.},
ISSN = {0940-4740},
ISBN = {9780387969794},
}
P. de la Harpe and V. Jones :
“Paires de sous-algèbres semi-simples et graphes fortement réguliers ”
[Pairs of semi-simple subalgebras and strongly regular graphs ],
C. R. Acad. Sci., Paris, Sér. I
311 : 3
(1990 ),
pp. 147–150 .
MR
1065880 Zbl
0707.46039 article
People
BibTeX
@article {key1065880m,
AUTHOR = {de la Harpe, Pierre and Jones, Vaughan},
TITLE = {Paires de sous-alg\`ebres semi-simples
et graphes fortement r\'eguliers [Pairs
of semi-simple subalgebras and strongly
regular graphs]},
JOURNAL = {C. R. Acad. Sci., Paris, S\'er. I},
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences.
S\'erie I},
VOLUME = {311},
NUMBER = {3},
YEAR = {1990},
PAGES = {147--150},
NOTE = {MR:1065880. Zbl:0707.46039.},
ISSN = {0764-4442},
}
P. de la Harpe and V. F. R. Jones :
“Graph invariants related to statistical mechanical models: Examples and problems J. Comb. Theory, Ser. B
57 : 2
(1993 ),
pp. 207–227 .
MR
1207488 Zbl
0729.57003 article
Abstract
People
BibTeX
Spin models and vertex models on graphs are defined as appropriate generalizations of the Ising–Potts model of statistical mechanics. We review some of these state models and the graph functions defined by them. If a graph \( X \) represents a knot or a link \( L \) in \( \mathbb{R}^3 \) , we describe models \( M \) for which the value \( Z^M_X \) at \( X \) of the graph function defined by \( M \) depends only on \( L \) and not on \( X \) .
@article {key1207488m,
AUTHOR = {de la Harpe, Pierre and Jones, V. F.
R.},
TITLE = {Graph invariants related to statistical
mechanical models: {E}xamples and problems},
JOURNAL = {J. Comb. Theory, Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series
B},
VOLUME = {57},
NUMBER = {2},
YEAR = {1993},
PAGES = {207--227},
DOI = {10.1006/jctb.1993.1017},
NOTE = {MR:1207488. Zbl:0729.57003.},
ISSN = {0095-8956},
}
R. Bacher, P. de la Harpe, and V. Jones :
“Carrés commutatifs et invariants de structures combinatoires ”
[Commuting squares and invariants of combinatorial structures ],
C. R. Acad. Sci. Paris Sér. I Math.
320 : 9
(1995 ),
pp. 1049–1054 .
MR
1332609 Zbl
0826.16024 article
People
BibTeX
@article {key1332609m,
AUTHOR = {Bacher, Roland and de la Harpe, Pierre
and Jones, Vaughan},
TITLE = {Carr\'es commutatifs et invariants de
structures combinatoires [Commuting
squares and invariants of combinatorial
structures]},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences.
S\'erie I. Math\'ematique},
VOLUME = {320},
NUMBER = {9},
YEAR = {1995},
PAGES = {1049--1054},
NOTE = {MR:1332609. Zbl:0826.16024.},
ISSN = {0764-4442},
}
V. F. R. Jones :
“The annular structure of subfactors ,”
pp. 401–463
in
Essays on geometry and related topics: Mémoires dédiés à André Haefliger
[Essays on geometry and related topics: Memoirs dedicated to André Haefliger ],
vol. 2 .
Edited by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Sergiescu, and T. Tsuboi .
Monographies de l’Enseignement Mathématique 38 .
Enseignement Mathématique (Geneva ),
2001 .
MR
1929335 Zbl
1019.46036 ArXiv
math/0105071 incollection
Abstract
People
BibTeX
Given a planar algebra we show the equivalence of the notions of a module over this algebra (in the operadic sense), and module over a universal annular algebra. We classify such modules, with invariant inner products, in the generic region and give applications to subfactors, including a planar construction of the \( E_6 \) and \( E_8 \) subfactors.
@incollection {key1929335m,
AUTHOR = {Jones, Vaughan F. R.},
TITLE = {The annular structure of subfactors},
BOOKTITLE = {Essays on geometry and related topics:
{M}\'emoires d\'edi\'es \`a {A}ndr\'e
{H}aefliger [Essays on geometry and
related topics: {M}emoirs dedicated
to {A}ndr\'e {H}aefliger]},
EDITOR = {Ghys, \'Etienne and de la Harpe, Pierre
and Jones, Vaughan F. R. and Sergiescu,
Vlad and Tsuboi, Takashi},
VOLUME = {2},
SERIES = {Monographies de l'Enseignement Math\'ematique},
NUMBER = {38},
PUBLISHER = {Enseignement Math\'ematique},
ADDRESS = {Geneva},
YEAR = {2001},
PAGES = {401--463},
NOTE = {ArXiv:math/0105071. MR:1929335. Zbl:1019.46036.},
ISSN = {0425-0818},
ISBN = {9782940264049},
}
Essays on geometry and related topics: Mémoires dédiés à André Haefliger Essays on geometry and related topics: Memoirs dedicated to André Haefliger ],
vol. 1 .
Edited by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Sergiescu, and T. Tsuboi .
Monographies de l’Enseignement Mathématique 38 .
Enseignement Mathématique (Geneva ),
2001 .
MR
1929318 Zbl
0988.00114 book
People
BibTeX
@book {key1929318m,
TITLE = {Essays on geometry and related topics:
{M}\'emoires d\'edi\'es \`a {A}ndr\'e
{H}aefliger [Essays on geometry and
related topics: {M}emoirs dedicated
to {A}ndr\'e {H}aefliger]},
EDITOR = {Ghys, \'Etienne and de la Harpe, Pierre
and Jones, Vaughan F. R. and Sergiescu,
Vlad and Tsuboi, Takashi},
VOLUME = {1},
SERIES = {Monographies de l'Enseignement Math\'ematique},
NUMBER = {38},
PUBLISHER = {Enseignement Math\'ematique},
ADDRESS = {Geneva},
YEAR = {2001},
PAGES = {319},
URL = {https://www.unige.ch/math/EnsMath/EM_MONO/m38.html},
NOTE = {MR:1929318. Zbl:0988.00114.},
ISSN = {0425-0818},
ISBN = {9782940264049},
}
Essays on geometry and related topics: Mémoires dédiés à André Haefliger Essays on geometry and related topics: Memoirs dedicated to André Haefliger ],
vol. 2 .
Edited by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Sergiescu, and T. Tsuboi .
Monographies de l’Enseignement Mathématique 38 .
Enseignement Mathématique (Geneva ),
2001 .
Zbl
0988.00115 book
People
BibTeX
@book {key0988.00115z,
TITLE = {Essays on geometry and related topics:
{M}\'emoires d\'edi\'es \`a {A}ndr\'e
{H}aefliger [Essays on geometry and
related topics: {M}emoirs dedicated
to {A}ndr\'e {H}aefliger]},
EDITOR = {Ghys, \'Etienne and de la Harpe, Pierre
and Jones, Vaughan F. R. and Sergiescu,
Vlad and Tsuboi, Takashi},
VOLUME = {2},
SERIES = {Monographies de l'Enseignement Math\'ematique},
NUMBER = {38},
PUBLISHER = {Enseignement Math\'ematique},
ADDRESS = {Geneva},
YEAR = {2001},
PAGES = {324--610},
URL = {https://www.unige.ch/math/EnsMath/EM_MONO/m38.html},
NOTE = {Zbl:0988.00115.},
ISSN = {0425-0818},
ISBN = {9782940264049},
}
É. Ghys, R. Grigorchuk, V. Jones, and T. Nagnibeda :
“Pierre a septante ans Pierre is seventy ],
pp. 599–603
in
Special issue on the occasion of Pierre de la Harpe’s 70th birthday ,
published as Groups Geom. Dyn.
8 : 3 .
European Publishing House (Zürich ),
2014 .
MR
3267516 incollection
People
BibTeX
@article {key3267516m,
AUTHOR = {Ghys, \'Etienne and Grigorchuk, Rostislav
and Jones, Vaughan and Nagnibeda, Tatiana},
TITLE = {Pierre a septante ans! [Pierre is seventy!]},
JOURNAL = {Groups Geom. Dyn.},
FJOURNAL = {Groups, Geometry, and Dynamics},
VOLUME = {8},
NUMBER = {3},
YEAR = {2014},
PAGES = {599--603},
DOI = {10.4171/GGD/240},
NOTE = {\textit{Special issue on the occasion
of {P}ierre de la {H}arpe's 70th birthday}.
MR:3267516.},
ISSN = {1661-7207},
}
