Jacques Dixmier

4.1k total citations · 1 hit paper
37 papers, 2.7k citations indexed

About

Jacques Dixmier is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Jacques Dixmier has authored 37 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Algebra and Number Theory, 19 papers in Mathematical Physics and 11 papers in Geometry and Topology. Recurrent topics in Jacques Dixmier's work include Advanced Topics in Algebra (21 papers), Advanced Algebra and Geometry (16 papers) and Finite Group Theory Research (7 papers). Jacques Dixmier is often cited by papers focused on Advanced Topics in Algebra (21 papers), Advanced Algebra and Geometry (16 papers) and Finite Group Theory Research (7 papers). Jacques Dixmier collaborates with scholars based in France, United States and United Kingdom. Jacques Dixmier's co-authors include Adrien Douady, Michel Brion, Rudolf Rentschler, Michel Duflo and Alain Connes and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Inventiones mathematicae and Proceedings of the American Mathematical Society.

In The Last Decade

Jacques Dixmier

35 papers receiving 1.9k citations

Hit Papers

Les C*-algebres et leurs representations .. 1964 2026 1984 2005 1964 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Les C*-algebres et leurs representations ..
    1964 979 citations Jacques Dixmier Medical Entomology and Zoology profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Jacques Dixmier France 18 1.9k 1.4k 873 586 361 37 2.7k
Calvin C. Moore United States 30 2.5k 1.3× 1.1k 0.8× 1.5k 1.7× 676 1.2× 272 0.8× 53 3.1k
E. C. Titchmarsh United Kingdom 13 923 0.5× 1.2k 0.8× 467 0.5× 652 1.1× 238 0.7× 35 2.1k
J. R. Ringrose United Kingdom 21 1.8k 1.0× 1.5k 1.0× 603 0.7× 768 1.3× 429 1.2× 40 2.6k
Irving Kaplansky United States 27 1.4k 0.7× 2.5k 1.8× 1.7k 1.9× 487 0.8× 1.0k 2.9× 80 4.0k
G. Hochschild Germany 25 1.6k 0.8× 1.3k 0.9× 1.6k 1.8× 209 0.4× 184 0.5× 87 2.6k
Masamichi Takesaki Japan 27 3.0k 1.6× 2.1k 1.5× 978 1.1× 829 1.4× 321 0.9× 65 3.8k
Uffe Haagerup Denmark 33 2.4k 1.3× 1.5k 1.1× 706 0.8× 840 1.4× 198 0.5× 75 3.0k
James Stasheff United States 20 1.7k 0.9× 1.1k 0.8× 1.7k 2.0× 232 0.4× 178 0.5× 35 2.6k
Friedrich Hirzebruch Germany 27 1.8k 0.9× 735 0.5× 2.3k 2.6× 736 1.3× 339 0.9× 70 3.2k
Harish-chandra Harish-Chandra United States 32 3.5k 1.9× 1.4k 1.0× 2.2k 2.5× 1.1k 1.9× 207 0.6× 60 4.4k

Countries citing papers authored by Jacques Dixmier

Since Specialization
Citations

This map shows the geographic impact of Jacques Dixmier's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Jacques Dixmier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Jacques Dixmier more than expected).

Fields of papers citing papers by Jacques Dixmier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jacques Dixmier. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Jacques Dixmier. The network helps show where Jacques Dixmier may publish in the future.

Co-authorship network of co-authors of Jacques Dixmier

This figure shows the co-authorship network connecting the top 25 collaborators of Jacques Dixmier. A scholar is included among the top collaborators of Jacques Dixmier based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Jacques Dixmier. Jacques Dixmier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Dixmier, Jacques. (1996). Enveloping Algebras. Graduate studies in mathematics. 79 indexed citations
2.
Brion, Michel & Jacques Dixmier. (1991). Comportement asymptotique des dimensions des covariants. Bulletin de la Société mathématique de France. 119(2). 217–230. 5 indexed citations
3.
Dixmier, Jacques, et al.. (1990). Operator algebras, unitary representations, enveloping algebras, and invariant theory : actes du colloque en l'honneur de Jacques Dixmier. Birkhäuser eBooks. 5 indexed citations
4.
Dixmier, Jacques. (1990). Proof of a conjecture by Erdős and Graham concerning the problem of Frobenius. Journal of Number Theory. 34(2). 198–209. 14 indexed citations
5.
Dixmier, Jacques. (1985). Quelques résultats de finitude en théorie des invariants. French digital mathematics library (Numdam). 28. 163–175. 1 indexed citations
6.
Dixmier, Jacques. (1976). Polarisation dans les algèbres de Lie. II. Bulletin de la Société mathématique de France. 79. 145–164. 5 indexed citations
7.
Dixmier, Jacques. (1973). Quotients simples de l'algèbre enveloppante de sl2. Journal of Algebra. 24(3). 551–564. 36 indexed citations
8.
Dixmier, Jacques. (1968). Sur les algèbres de Weyl. Bulletin de la Société mathématique de France. 79. 209–242. 188 indexed citations
9.
Dixmier, Jacques. (1968). Localization of a theorem of Glimm. Proceedings of the American Mathematical Society. 19(2). 364–366.
10.
Dixmier, Jacques. (1964). Les C*-algebres et leurs representations ... Medical Entomology and Zoology. 979 indexed citations breakdown →
11.
Dixmier, Jacques. (1963). Traces sur les C * -algèbres. Annales de l’institut Fourier. 13(1). 219–262. 15 indexed citations
12.
Dixmier, Jacques & Adrien Douady. (1963). Champs continus d'espaces hilbertiens et de $C^*$-algèbres. Bulletin de la Société mathématique de France. 79. 227–284. 119 indexed citations
13.
Dixmier, Jacques. (1960). Sur Les Representations Unitaires des Groupes de Lie Nilpotents. VI. Canadian Journal of Mathematics. 12. 324–352. 6 indexed citations
14.
Dixmier, Jacques. (1959). Sur les représentations unitaires des groupes de Lie nilpotents. V. Bulletin de la Société mathématique de France. 79. 65–79. 49 indexed citations
15.
Dixmier, Jacques. (1957). Les algèbres d'opérateurs dans l'espace Hilbertien (algèbres de von Neumann). CERN Document Server (European Organization for Nuclear Research). 233 indexed citations
16.
Dixmier, Jacques. (1957). Sur les représentations unitaires des groupes de Lie algébriques. Annales de l’institut Fourier. 7. 315–328. 25 indexed citations
17.
Dixmier, Jacques. (1957). L'application exponentielle dans les groupes de Lie résolubles. Bulletin de la Société mathématique de France. 79. 113–121. 52 indexed citations
18.
Dixmier, Jacques. (1957). Sur les représentations unitaires des groupes de Lie nilpotents. II. Bulletin de la Société mathématique de France. 79. 325–388. 35 indexed citations
19.
Dixmier, Jacques. (1956). Travaux de Malgrange sur les équations aux dérivées partielles elliptiques. French digital mathematics library (Numdam). 3. 251–259. 1 indexed citations
20.
Dixmier, Jacques. (1953). Formes linéaires sur un anneau d'opérateurs. Bulletin de la Société mathématique de France. 79. 9–39. 131 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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