Rudolf Rentschler

556 total citations
15 papers, 339 citations indexed

About

Rudolf Rentschler is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Rudolf Rentschler has authored 15 papers receiving a total of 339 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Algebra and Number Theory, 7 papers in Geometry and Topology and 4 papers in Mathematical Physics. Recurrent topics in Rudolf Rentschler's work include Advanced Topics in Algebra (9 papers), Algebraic structures and combinatorial models (4 papers) and Advanced Algebra and Geometry (3 papers). Rudolf Rentschler is often cited by papers focused on Advanced Topics in Algebra (9 papers), Algebraic structures and combinatorial models (4 papers) and Advanced Algebra and Geometry (3 papers). Rudolf Rentschler collaborates with scholars based in France, Germany and Israel. Rudolf Rentschler's co-authors include Walter Borho, Peter Gabriel, François Murat, Anthony D. Joseph, F. Mignot, Anthony Joseph, Michèle Vergne, Colette Mœglin, F. Schumm and Jacques Dixmier and has published in prestigious journals such as Lecture notes in mathematics, Inventiones mathematicae and Journal of Functional Analysis.

In The Last Decade

Rudolf Rentschler

15 papers receiving 297 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Rudolf Rentschler France	8	235	221	184	89	28	15	339
Gérard Schiffmann France	10	142 0.6×	243 1.1×	333 1.8×	133 1.5×	26 0.9×	19	368
András Szenes United States	7	111 0.5×	182 0.8×	118 0.6×	68 0.8×	54 1.9×	19	259
Johan L. Dupont Denmark	13	161 0.7×	421 1.9×	439 2.4×	55 0.6×	27 1.0×	30	545
Brian D. Boe United States	11	160 0.7×	258 1.2×	212 1.2×	90 1.0×	44 1.6×	27	316
Akihiko Gyoja Japan	10	131 0.6×	224 1.0×	214 1.2×	130 1.5×	23 0.8×	35	285
Alexandr N. Zubkov Russia	11	248 1.1×	247 1.1×	189 1.0×	67 0.8×	36 1.3×	45	324
Hans Maaß United States	10	244 1.0×	224 1.0×	353 1.9×	87 1.0×	19 0.7×	20	470
Jean‐Paul Brasselet France	10	108 0.5×	308 1.4×	193 1.0×	76 0.9×	26 0.9×	53	375
Vladimir L. Popov Russia	13	159 0.7×	423 1.9×	395 2.1×	96 1.1×	26 0.9×	62	522
Ferdinand D. Veldkamp Netherlands	8	117 0.5×	121 0.5×	80 0.4×	71 0.8×	12 0.4×	13	197

Countries citing papers authored by Rudolf Rentschler

Since Specialization

Citations

This map shows the geographic impact of Rudolf Rentschler'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 Rudolf Rentschler with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Rudolf Rentschler more than expected).

Fields of papers citing papers by Rudolf Rentschler

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Rudolf Rentschler. 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 Rudolf Rentschler. The network helps show where Rudolf Rentschler may publish in the future.

Co-authorship network of co-authors of Rudolf Rentschler

This figure shows the co-authorship network connecting the top 25 collaborators of Rudolf Rentschler. A scholar is included among the top collaborators of Rudolf Rentschler 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 Rudolf Rentschler. Rudolf Rentschler is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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15 of 15 papers shown

Borho, Walter & Rudolf Rentschler. (2006). Sheets and hearts of prime ideals in enveloping algebras of semisimple Lie algebras. Journal of Algebra. 304(1). 324–348. 2 indexed citations

Joseph, Anthony, et al.. (2003). Studies in Memory of Issai Schur. CERN Document Server (European Organization for Nuclear Research). 50 indexed citations

Joseph, Anthony D., et al.. (1994). First European Congress of Mathematics Paris, July 6–10, 1992. CERN Document Server (European Organization for Nuclear Research). 4 indexed citations

Joseph, Anthony D., et al.. (1994). First European Congress of Mathematics. CERN Document Server (European Organization for Nuclear Research). 88 indexed citations

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

Mœglin, Colette & Rudolf Rentschler. (1987). Sous-Corps Commutatifs Ad-Stables Dans Les Quotients Primitifs Des Algebres Enveloppantes Des Algebres De Lie Resolubles Algebriques. Journal of the London Mathematical Society. s2-35(1). 29–41. 1 indexed citations

Mœglin, Colette & Rudolf Rentschler. (1986). Sous-corps commutatifs ad-stables des anneaux de fractions des quotients des algèbres enveloppantes; espaces homogènes et induction de Mackey. Journal of Functional Analysis. 69(3). 307–396. 5 indexed citations

Mœglin, Colette & Rudolf Rentschler. (1984). Sur la classification des idéaux primitifs des algèbres enveloppantes. Bulletin de la Société mathématique de France. 79. 3–40. 7 indexed citations

Mœglin, Colette & Rudolf Rentschler. (1981). Orbites d'un groupe algébrique dans l'espace des idéaux rationnels d'une algèbre enveloppante. Bulletin de la Société mathématique de France. 79. 403–426. 11 indexed citations

10.

Langohr, H. D., et al.. (1977). Vergleichende biochemische und elektrophysiologische Untersuchungen in der Skeletmuskulatur bei Alkoholismus. European Archives of Psychiatry and Clinical Neuroscience. 223(3). 249–263. 3 indexed citations

11.

Borho, Walter & Rudolf Rentschler. (1975). Oresche Teilmengen in Einh�llenden Algebren. Mathematische Annalen. 217(3). 201–210. 19 indexed citations

12.

Rentschler, Rudolf. (1974). L'injectivit� de l'application de Dixmier pour les alg�bres de Lie r�solubles. Inventiones mathematicae. 23(1). 49–71. 10 indexed citations

13.

Borho, Walter, Peter Gabriel, & Rudolf Rentschler. (1973). Primideale in Einhüllenden auflösbarer Lie-Algebren : (Beschreibung durch Bahnenräume). Springer eBooks. 17 indexed citations

14.

Borho, Walter, Peter Gabriel, & Rudolf Rentschler. (1973). Primideale in Einhüllenden auflösbarer Lie-Algebren. Lecture notes in mathematics. 86 indexed citations

15.

Rentschler, Rudolf & Michèle Vergne. (1973). Sur le semi-centre du corps enveloppant d'une algèbre de Lie. Annales Scientifiques de l École Normale Supérieure. 6(3). 389–405. 31 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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