Sophus Lie

1.9k total citations
9 papers, 135 citations indexed

About

Sophus Lie is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Sophus Lie has authored 9 papers receiving a total of 135 indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Algebra and Number Theory, 3 papers in Mathematical Physics and 2 papers in Geometry and Topology. Recurrent topics in Sophus Lie's work include Advanced Topics in Algebra (4 papers), Homotopy and Cohomology in Algebraic Topology (3 papers) and Mathematics and Applications (2 papers). Sophus Lie is often cited by papers focused on Advanced Topics in Algebra (4 papers), Homotopy and Cohomology in Algebraic Topology (3 papers) and Mathematics and Applications (2 papers). Sophus Lie collaborates with scholars based in . Sophus Lie's co-authors include Róbert Hermann and Poul E. Heegaard and has published in prestigious journals such as CERN Document Server (European Organization for Nuclear Research), Medical Entomology and Zoology and Wissenschaftliche Buchgesellschaft eBooks.

In The Last Decade

Sophus Lie

9 papers receiving 114 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Sophus Lie	6	67	50	36	19	19	9	135
A. K. Kwaśniewski Poland	6	39 0.6×	51 1.0×	28 0.8×	3 0.2×	45 2.4×	24	106
Modesto Salgado Spain	9	131 2.0×	74 1.5×	133 3.7×	18 0.9×	49 2.6×	23	212
Georges Valiron	4	19 0.3×	20 0.4×	11 0.3×	3 0.2×	9 0.5×	5	71
Ilya Zakharevich United States	7	107 1.6×	109 2.2×	56 1.6×	3 0.2×	45 2.4×	9	152
Joseph Grifone France	8	73 1.1×	81 1.6×	47 1.3×	7 0.4×	20 1.1×	13	268
A. V. Odesskiĭ Russia	8	96 1.4×	138 2.8×	77 2.1×	7 0.4×	94 4.9×	28	181
Morris Marden United States	9	20 0.3×	91 1.8×	46 1.3×	22 1.2×	32 1.7×	31	209
H. L. Krall United States	5	55 0.8×	16 0.3×	22 0.6×	30 1.6×	13 0.7×	8	171
I. M. Sheffer United States	6	56 0.8×	15 0.3×	18 0.5×	29 1.5×	16 0.8×	7	173
Alexey Kokotov Canada	10	63 0.9×	115 2.3×	126 3.5×	6 0.3×	16 0.8×	27	197

Countries citing papers authored by Sophus Lie

Since Specialization

Citations

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

Fields of papers citing papers by Sophus Lie

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Sophus Lie

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

All Works

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9 of 9 papers shown

1.

Lie, Sophus. (2015). Theory of Transformation Groups I. CERN Document Server (European Organization for Nuclear Research). 10 indexed citations

2.

Lie, Sophus. (1976). Geometrie der Beruhrungstransformationen. Bulletin of Miscellaneous Information (Royal Gardens Kew). 34 indexed citations

3.

Lie, Sophus, et al.. (1975). Sophus Lie's 1880 transformation group paper. 38 indexed citations

4.

Lie, Sophus & Róbert Hermann. (1975). Sophus Lie's 1884 differential invariant paper. Medical Entomology and Zoology. 12 indexed citations

5.

Lie, Sophus, et al.. (1973). Gesammelte Abhandlungen : auf Grund einer Bewilligung aus dem norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapsakademi zu Oslo und der Akademie der Wissenschaften zu Leipzig. Bulletin of Miscellaneous Information (Royal Gardens Kew). 2 indexed citations

6.

Lie, Sophus, et al.. (1971). Vorlesungen uber continuierliche Gruppen. 23 indexed citations

7.

Lie, Sophus. (1967). Über die Grundlagen der Geometrie. Wissenschaftliche Buchgesellschaft eBooks. 6 indexed citations

8.

Lie, Sophus, et al.. (1957). Hyperalgébres et groupes de Lie formels : séminaire "Sophus Lie", 2e année, 1955-1956. 5 indexed citations

9.

Lie, Sophus, et al.. (1955). Théorie des algèbres de Lie : topologie des groupes de Lie : séminaire "Sophus Lie", 1e année, 1954-1955. 5 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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