Hideki Omori

2.1k total citations
53 papers, 1.1k citations indexed

About

Hideki Omori is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Hideki Omori has authored 53 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Mathematical Physics, 21 papers in Algebra and Number Theory and 18 papers in Geometry and Topology. Recurrent topics in Hideki Omori's work include Advanced Topics in Algebra (21 papers), Homotopy and Cohomology in Algebraic Topology (17 papers) and Algebraic structures and combinatorial models (10 papers). Hideki Omori is often cited by papers focused on Advanced Topics in Algebra (21 papers), Homotopy and Cohomology in Algebraic Topology (17 papers) and Algebraic structures and combinatorial models (10 papers). Hideki Omori collaborates with scholars based in Japan, Germany and United States. Hideki Omori's co-authors include Hiroharu Suzuki, Yoshiaki Maeda, Akira Yoshioka, Yoshihiko Moro‐oka, Dong Hwan Lee, Masako Tanaka, Yuka Yoshida, Osamu Kobayashi, Daisuke Fujiwara and Katsuhiko Sano and has published in prestigious journals such as Polymer, The Journal of Organic Chemistry and Communications in Mathematical Physics.

In The Last Decade

Hideki Omori

48 papers receiving 995 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Hideki Omori Japan	16	478	394	363	323	246	53	1.1k
Norbert Peyerimhoff United Kingdom	10	129 0.3×	118 0.3×	91 0.3×	103 0.3×	102 0.4×	44	515
Kazuya Katô Japan	21	1.0k 2.1×	61 0.2×	29 0.1×	811 2.5×	85 0.3×	70	1.3k
J. de Groot Netherlands	17	289 0.6×	46 0.1×	18 0.0×	219 0.7×	24 0.1×	45	892
Hong‐Chen Fu China	14	281 0.6×	17 0.0×	90 0.2×	43 0.1×	149 0.6×	40	837
Jiaxin Hu China	19	108 0.2×	342 0.9×	212 0.6×	285 0.9×	111 0.5×	47	916
Zahid Raza United Arab Emirates	18	632 1.3×	17 0.0×	307 0.8×	11 0.0×	51 0.2×	86	807
J. A. Brooke Canada	11	15 0.0×	42 0.1×	35 0.1×	40 0.1×	17 0.1×	23	320
Shigeru Arimoto Canada	13	167 0.3×	40 0.1×	122 0.3×	53 0.2×	17 0.1×	39	370
I. Ema Spain	18	11 0.0×	249 0.6×	159 0.4×	10 0.0×	52 0.2×	51	826
Gilbert Weinstein United States	13	35 0.1×	97 0.2×	73 0.2×	32 0.1×	28 0.1×	28	479

Countries citing papers authored by Hideki Omori

Since Specialization

Citations

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

Fields of papers citing papers by Hideki Omori

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hideki Omori

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

All Works

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20 of 20 papers shown

Omori, Hideki, et al.. (2007). Non-formal deformation quantization of Fréchet-Poisson algebras: The Heisenberg Lie algebra case. 99. 1 indexed citations

Omori, Hideki, et al.. (2003). Strange Phenomena Related to Ordering Problems in Quantizations. Journal of Lie theory. 13(2). 481–510. 2 indexed citations

Omori, Hideki, et al.. (2000). ANOMALOUS QUADRATIC EXPONENTIALS IN THE STAR-PRODUCTS (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie). Kyoto University Research Information Repository (Kyoto University). 1150. 128–132. 1 indexed citations

Omori, Hideki, et al.. (1998). Noncommutative 3-sphere: A model of noncommutative contact algebras. Journal of the Mathematical Society of Japan. 50(4). 3 indexed citations

Omori, Hideki, et al.. (1998). Deformation Quantizations of the Poisson Algebra of Laurent Polynomials. Letters in Mathematical Physics. 46(2). 171–180. 6 indexed citations

Omori, Hideki, Yoshiaki Maeda, & Akira Yoshioka. (1994). A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras. Journal of the Mathematical Society of Japan. 46(1). 2 indexed citations

Omori, Hideki, Hiroharu Suzuki, Takeaki Kakigano, & Yoshihiko Moro‐oka. (1992). Synthesis and molecular structure of a dinuclear ruthenium dihydride complex containing a perpendicularly bridging diphenylacetylene ligand. Organometallics. 11(2). 989–992. 26 indexed citations

Omori, Hideki, Yoshiaki Maeda, & Akira Yoshioka. (1991). Weyl manifolds and deformation quantization. Advances in Mathematics. 85(2). 224–255. 105 indexed citations

Kobayashi, Osamu, Yoshiaki Maeda, Hideki Omori, & Akira Yoshioka. (1982). On Regular Fréchet-Lie Groups IV; Definition and Fundamental Theorems. Tokyo Journal of Mathematics. 5(2). 21 indexed citations

10.

Omori, Hideki. (1981). A remark on non-enlargable Lie algebras. Journal of the Mathematical Society of Japan. 33(4). 5 indexed citations

11.

Maeda, Yoshiaki, et al.. (1977). On Lie Algebras of Vector Fields. Transactions of the American Mathematical Society. 226. 89–89. 6 indexed citations

12.

Maeda, Yoshiaki, et al.. (1977). On Lie algebras of vector fields. Transactions of the American Mathematical Society. 226(0). 89–117. 10 indexed citations

13.

Omori, Hideki. (1973). Groups of diffeomorphisms and their subgroups. Transactions of the American Mathematical Society. 179(0). 85–122. 15 indexed citations

14.

Omori, Hideki. (1972). On smooth extension theorems. Journal of the Mathematical Society of Japan. 24(3). 7 indexed citations

15.

Omori, Hideki. (1972). Local structures of groups of diffeomorphisms. Journal of the Mathematical Society of Japan. 24(1). 7 indexed citations

16.

Omori, Hideki. (1968). A class of Riemannian metrics on a manifold. Journal of Differential Geometry. 2(3). 13 indexed citations

17.

Omori, Hideki. (1967). Isometric immersions of Riemannian manifolds. Journal of the Mathematical Society of Japan. 19(2). 307 indexed citations

18.

Omori, Hideki. (1967). A study of transformation groups on manifolds. Journal of the Mathematical Society of Japan. 19(1). 1 indexed citations

19.

Omori, Hideki. (1966). Homomorphic images of Lie groups. Journal of the Mathematical Society of Japan. 18(1). 14 indexed citations

20.

Omori, Hideki. (1966). Some examples of topological groups. Journal of the Mathematical Society of Japan. 18(2). 6 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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