A. U. Klimyk

3.8k total citations · 2 hit papers
81 papers, 2.0k citations indexed

About

A. U. Klimyk is a scholar working on Algebra and Number Theory, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, A. U. Klimyk has authored 81 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Algebra and Number Theory, 37 papers in Geometry and Topology and 31 papers in Statistical and Nonlinear Physics. Recurrent topics in A. U. Klimyk's work include Advanced Topics in Algebra (41 papers), Algebraic structures and combinatorial models (37 papers) and Nonlinear Waves and Solitons (27 papers). A. U. Klimyk is often cited by papers focused on Advanced Topics in Algebra (41 papers), Algebraic structures and combinatorial models (37 papers) and Nonlinear Waves and Solitons (27 papers). A. U. Klimyk collaborates with scholars based in Ukraine, United States and Czechia. A. U. Klimyk's co-authors include N. Ja. Vilenkin, Konrad Schmüdgen, Bruno Gruber, A. M. Gavrilik, Igor Burban, Natig M. Atakishiyev, J. Patera, N. I︠a︡. Vilenkin, Walter Schempp and Yu.F. Smirnov and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Journal of Mathematical Physics.

In The Last Decade

A. U. Klimyk

72 papers receiving 1.8k citations

Hit Papers

Quantum Groups and Their Representations 1992 2026 2003 2014 1997 1992 100 200 300 400 500
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. Quantum Groups and Their Representations
    1997 542 citations A. U. Klimyk et al. profile →
  2. Representation of Lie Groups and Special Functions
    1992 485 citations N. Ja. Vilenkin, A. U. Klimyk profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
A. U. Klimyk Ukraine 17 995 793 742 692 466 81 2.0k
S. N. M. Ruijsenaars Netherlands 22 930 0.9× 1.3k 1.6× 395 0.5× 510 0.7× 321 0.7× 79 2.1k
A. A. Kirillov Russia 13 766 0.8× 499 0.6× 508 0.7× 916 1.3× 282 0.6× 47 1.7k
А. П. Веселов Russia 28 1.3k 1.4× 1.8k 2.3× 437 0.6× 684 1.0× 291 0.6× 127 2.6k
S. Sternberg United States 14 1.6k 1.6× 846 1.1× 588 0.8× 1.5k 2.1× 654 1.4× 25 3.1k
J. J. Duistermaat Netherlands 25 1.2k 1.2× 1.2k 1.5× 332 0.4× 1.6k 2.4× 842 1.8× 64 3.3k
V. S. Varadarajan United States 23 1.2k 1.2× 504 0.6× 807 1.1× 1.8k 2.5× 734 1.6× 81 3.5k
Mark Adler United States 30 1.4k 1.4× 1.9k 2.4× 353 0.5× 797 1.2× 303 0.7× 68 2.7k
S. P. Novikov Russia 21 973 1.0× 1.7k 2.1× 305 0.4× 823 1.2× 360 0.8× 69 2.8k
I. M. Krichever Russia 31 2.0k 2.0× 2.8k 3.6× 535 0.7× 1.1k 1.6× 289 0.6× 105 3.7k
Pierre van Moerbeke United States 32 1.4k 1.4× 2.1k 2.6× 283 0.4× 1.0k 1.5× 401 0.9× 80 3.3k

Countries citing papers authored by A. U. Klimyk

Since Specialization
Citations

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

Fields of papers citing papers by A. U. Klimyk

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. U. Klimyk. 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 A. U. Klimyk. The network helps show where A. U. Klimyk may publish in the future.

Co-authorship network of co-authors of A. U. Klimyk

This figure shows the co-authorship network connecting the top 25 collaborators of A. U. Klimyk. A scholar is included among the top collaborators of A. U. Klimyk 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 A. U. Klimyk. A. U. Klimyk 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.
Klimyk, A. U., et al.. (2007). The factorization of aq-difference equation for continuousq-Hermite polynomials. Journal of Physics A Mathematical and Theoretical. 40(31). 9311–9317. 9 indexed citations
2.
Atakishiyev, Natig M. & A. U. Klimyk. (2005). On discrete q-ultraspherical polynomials and their duals. Journal of Mathematical Analysis and Applications. 306(2). 637–645. 6 indexed citations
3.
Atakishiyev, Natig M. & A. U. Klimyk. (2005). Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials. Ukrainian Mathematical Journal. 57(5). 728–737. 4 indexed citations
4.
Atakishiyev, Natig M. & A. U. Klimyk. (2004). On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials. Journal of Mathematical Analysis and Applications. 294(1). 246–257. 12 indexed citations
5.
Klimyk, A. U., et al.. (2003). Harmonics on the quantum Euclidean space. Journal of Physics A Mathematical and General. 36(27). 7545–7558.
6.
Klimyk, A. U., et al.. (2001). The q-Laplace operator and q-harmonic polynomials on the quantum vector space. Journal of Mathematical Physics. 42(3). 1326–1345. 6 indexed citations
7.
Klimyk, A. U., et al.. (1996). Spectra, eigenvectors and overlap functions for representation operators ofq-deformed algebras. Communications in Mathematical Physics. 175(1). 89–111. 5 indexed citations
8.
Klimyk, A. U., et al.. (1995). q-Deformed Euclidean algebras and their representations. Theoretical and Mathematical Physics. 103(3). 706–712. 2 indexed citations
9.
Klimyk, A. U.. (1995). Symmetries of Clebsch–Gordan coefficients of the quantum group U q(n). Journal of Mathematical Physics. 36(1). 508–523. 1 indexed citations
10.
Vilenkin, N. I︠a︡. & A. U. Klimyk. (1993). Class I representations, special functions, and integral transforms. Kluwer Academic Publishers eBooks. 3 indexed citations
11.
Burban, Igor & A. U. Klimyk. (1993). On spectral properties ofq-oscillator operators. Letters in Mathematical Physics. 29(1). 13–18. 24 indexed citations
12.
Klimyk, A. U.. (1992). Classical Lie groups, quantum groups and special functions. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 5(4). 271–292. 1 indexed citations
13.
Vilenkin, N. I︠a︡. & A. U. Klimyk. (1992). Classical and quantum groups and special functions. Kluwer Academic Publishers eBooks. 4 indexed citations
14.
Vilenkin, N. I︠a︡. & A. U. Klimyk. (1991). Simplest Lie groups, special functions and integral transforms. Kluwer Academic Publishers eBooks. 9 indexed citations
15.
16.
Belavin, A. A., A. U. Klimyk, & A. B. Zamolodchikov. (1989). Problems of modern quantum field theory : invited lectures of the Spring School, held in Alushta USSR, April 24-May 5, 1989. Springer eBooks. 2 indexed citations
17.
Gruber, Bruno & A. U. Klimyk. (1978). Multiplicity free and finite multiplicity indecomposable representations of the algebra su(1,1). Journal of Mathematical Physics. 19(10). 2009–2017. 13 indexed citations
18.
Klimyk, A. U.. (1977). On the tensor product of representations of semisimple Lie groups. Letters in Mathematical Physics. 1(5). 375–377. 3 indexed citations
19.
Klimyk, A. U.. (1974). On the tensor product of representations of semisimple Lie groups. Mathematical Notes. 16(5). 1033–1037. 1 indexed citations
20.

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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by S. N. M. Ruijsenaars Breakdown of academic impact, for papers by A. A. Kirillov Breakdown of academic impact, for papers by А. П. Веселов Breakdown of academic impact, for papers by S. Sternberg Breakdown of academic impact, for papers by J. J. Duistermaat Breakdown of academic impact, for papers by V. S. Varadarajan Breakdown of academic impact, for papers by Mark Adler Breakdown of academic impact, for papers by S. P. Novikov Breakdown of academic impact, for papers by I. M. Krichever Breakdown of academic impact, for papers by Pierre van Moerbeke
Rankless by CCL
2026