Most cited papers in Algebraic structures and combinatorial models
What are the most cited papers in Algebraic structures and combinatorial models?
The most cited paper in Algebraic structures and combinatorial models is "The Magma Algebra System I: The User Language" (Wieb Bosma, John Cannon, Catherine Playoust, 1997), with 7,465 citations. Next come "Infinite conformal symmetry in two-dimensional quantum field theory" (4,909) and "The density-matrix renormalization group in the age of matrix product states" (4,199).
Showing 50 of 100 papers. Every paper with more than 812 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | The Magma Algebra System I: The User Language Wieb Bosma, John Cannon, Catherine Playoust · Journal of Symbolic Computation | Sep 1997 | 7,465 |
| 2 | Infinite conformal symmetry in two-dimensional quantum field theory Alexander A. Belavin, Andrey Polyakov, A. B. Zamolodchikov · Nuclear Physics B | Jul 1984 | 4,909 |
| 3 | The density-matrix renormalization group in the age of matrix product states Ulrich Schollwöck · Annals of Physics | 2 Oct 2010 | 4,199 |
| 4 | String Theory and Noncommutative Geometry Nathan Seiberg, Edward H. Witten | 1999 | 3,217 |
| 5 | Microscopic origin of the Bekenstein-Hawking entropy Andrew Strominger, Cumrun Vafa · Physics Letters B | Jun 1996 | 3,090 |
| 6 | Nonabelions in the fractional quantum hall effect Gregory Martin Moore, Nicholas Read · Nuclear Physics B | Aug 1991 | 3,005 |
| 7 | M theory as a matrix model: A conjecture Thomas I. Banks, Willy Fischler, Stephen H. Shenker et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Apr 1997 | 2,809 |
| 8 | Global aspects of current algebra Edward H. Witten · Nuclear Physics B | Aug 1983 | 2,732 |
| 9 | Aq-difference analogue of U(g) and the Yang-Baxter equation Michio Jimbo · Letters in Mathematical Physics | Jul 1985 | 2,665 |
| 10 | Hopf Algebras and Their Actions on Rings Susan Montgomery · Regional conference series in mathematics | 28 Oct 1993 | 2,592 |
| 11 | Deformation Quantization of Poisson Manifolds Maxim L'vovich Kontsevich · Letters in Mathematical Physics | Dec 2003 | 2,463 |
| 12 | Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures Alexander Altland, Martin R. Zirnbauer · Physical review. B, Condensed matter | 1997 | 2,461 |
| 13 | Noncommutative Geometry Alain Connes, Joachim Cuntz, Marc A. Rieffel · Oberwolfach Reports | 30 Jun 2010 | 2,326 |
| 14 | A practical introduction to tensor networks: Matrix product states and projected entangled pair states Román Orús · Annals of Physics | 19 Jun 2014 | 2,117 |
| 15 | Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models Alexander B. Zamolodchikov, Alexey B Zamolodchikov · Annals of Physics | Aug 1979 | 2,050 |
| 16 | Operator content of two-dimensional conformally invariant theories John Cardy · Nuclear Physics B | 1986 | 1,993 |
| 17 | Higher algebraic K-theory: I Daniel G. Quillen · Lecture notes in mathematics | 1973 | 1,984 |
| 18 | Aspects of holographic entanglement entropy Shinsei Ryu, Tadashi Takayanagi · Journal of High Energy Physics | 21 Aug 2006 | 1,952 |
| 19 | Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase Barry Simon · Physical Review Letters | 12 Dec 1983 | 1,929 |
| 20 | Seiberg-Witten Prepotential from Instanton Counting Nikita Alexandrovich Nekrasov · Advances in Theoretical and Mathematical Physics | 2003 | 1,918 |
| 21 | Lie superalgebras Victor Gershevich Kac · Advances in Mathematics | Oct 1977 | 1,890 |
| 22 | Symplectic structures, their Bäcklund transformations and hereditary symmetries Benno Fuchssteiner, ATHANASSIOS S. FOKAS · Physica D Nonlinear Phenomena | Oct 1981 | 1,882 |
| 23 | Current algebra and Wess-Zumino model in two dimensions V.G. Knizhnik, A. B. Zamolodchikov · Nuclear Physics B | Dec 1984 | 1,861 |
| 24 | Phases of N = 2 theories in two dimensions Edward H. Witten · Nuclear Physics B | Aug 1993 | 1,811 |
| 25 | Cluster algebras I: Foundations Sergey Fomin, Andrei V. Zelevinsky · Journal of the American Mathematical Society | 28 Dec 2001 | 1,745 |
| 26 | Generalized global symmetries Davide Gaiotto, Anton Kapustin, Nathan Seiberg et al. · Journal of High Energy Physics | Feb 2015 | 1,741 |
| 27 | Representations of Coxeter groups and Hecke algebras David Kazhdan, G. Lusztig · Inventiones mathematicae | Jun 1979 | 1,739 |
| 28 | Fusion rules and modular transformations in 2D conformal field theory Erik Verlinde · Nuclear Physics B | 1988 | 1,604 |
| 29 | Colloquium : Topological band theory Arun Bansil, Hsin Lin, Tanmoy Das · Reviews of Modern Physics | 29 Jun 2016 | 1,599 |
| 30 | On q-analogues of the quantum harmonic oscillator and the quantum group SU(2) q Alan Macfarlane · Journal of Physics A Mathematical and General | 7 Nov 1989 | 1,586 |
| 31 | Conformal invariance, the central charge, and universal finite-size amplitudes at criticality Henk W. J. Blöte, John Cardy, M. P. Nightingale · Physical Review Letters | 17 Feb 1986 | 1,568 |
| 32 | Boundary conditions for integrable quantum systems Evgeny Konstantinovich Sklyanin · Journal of Physics A Mathematical and General | 21 May 1988 | 1,567 |
| 33 | The quantum group SU q (2) and a q-analogue of the boson operators Lawrence C. Biedenharn · Journal of Physics A Mathematical and General | 21 Sep 1989 | 1,528 |
| 34 | Deformation theory and quantization. I. Deformations of symplectic structures F. Bayen, Mosh� Flato, Christian Frønsdal et al. · Annals of Physics | Mar 1978 | 1,517 |
| 35 | A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation Michio Jimbo · Letters in Mathematical Physics | Apr 1986 | 1,502 |
| 36 | Conformal algebra and multipoint correlation functions in 2D statistical models Vl.S. Dotsenko, Vladimir Aleksandrovich Fateev · Nuclear Physics B | Oct 1984 | 1,425 |
| 37 | Boundary conditions, fusion rules and the Verlinde formula John Cardy · Nuclear Physics B | Oct 1989 | 1,379 |
| 38 | Classical and quantum conformal field theory Gregory Moore, Nathan Seiberg · Communications in Mathematical Physics | Jun 1989 | 1,376 |
| 39 | A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories Ana Achúcarro, Paul K. Townsend · Physics Letters B | Nov 1986 | 1,360 |
| 40 | The Zero-Divisor Graph of a Commutative Ring David F. Anderson, Philip S. Livingston · Journal of Algebra | Jul 1999 | 1,350 |
| 41 | A relation between tree amplitudes of closed and open strings Hikaru Kawai, David C. Lewellen, S.-H. Henry Tye · Nuclear Physics B | May 1986 | 1,326 |
| 42 | Homological Algebra of Mirror Symmetry Maxim L'vovich Kontsevich · Birkhäuser Basel eBooks | 1995 | 1,231 |
| 43 | Bound states of strings and p-branes Edward Witten · Nuclear Physics B | Feb 1996 | 1,225 |
| 44 | Quantization of Lie Groups and Lie Algebras L. D. Faddeev, Nicolai Reshetikhin, Leon A. Takhtajan · Elsevier eBooks | 1988 | 1,209 |
| 45 | Supergravity Peter van Nieuwenhuizen · Physics Reports | Feb 1981 | 1,207 |
| 46 | State sum invariants of 3-manifolds and quantum 6j-symbols Vladimir Georgievich Turaev, Oleg Ya. Viro · Topology | Oct 1992 | 1,195 |
| 47 | Quantization of gauge theories with linearly dependent generators Igor Anatol'evich Batalin, G. A. Vilkovisky · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Nov 1983 | 1,185 |
| 48 | Topological gauge theories and group cohomology Robbert Dijkgraaf, Edward H. Witten · Communications in Mathematical Physics | Apr 1990 | 1,177 |
| 49 | The diamond lemma for ring theory George M. Bergman · Advances in Mathematics | Feb 1978 | 1,174 |
| 50 | Strings in less than one dimension Michael R. Douglas, Stephen H. Shenker · Nuclear Physics B | May 1990 | 1,162 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.