Edit Profile (opens in new tab) Martin, Paul Purdon Co-Author Distance Author ID: martin.paul-purdon Published as: Martin, Paul; Martin, P. P.; Martin, Paul P.; Martin, Paul Purdon; Martin, P. more...less Homepage: https://www.maths.leeds.ac.uk/index.php?id=263&uid=1049 External Links: ORCID Documents Indexed: 107 Publications since 1974, including 1 Book and 16 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 45 Co-Authors with 71 Joint Publications 779 Co-Co-Authors all top 5 Co-Authors 20 single-authored 8 Parker, Alison E. 7 Saleur, Hubert 6 Cox, Anton 6 Kádár, Zoltán 6 Martins, João Nuno Goncalves Faria 6 Rowell, Eric C. 6 Woodcock, David J. 5 De Visscher, Maud 5 Green, Richard M. 5 Mazorchuk, Volodymyr 4 Bullivant, Alex 2 Ahmed, Chwas Abas 2 Álvarez, Marcos X. 2 Baur, Karin 2 Calçada, Marcos 2 Damiani, Celeste 2 Doikou, Anastasia 2 Launer, Guy 2 Levy, Dan 2 Marsh, Bethany Rose 2 Rittenberg, Vladimir 2 Ryom-Hansen, Steen 2 Torzewska, Fiona 2 Westbury, Bruce W. 1 Ainsworth, Mark 1 Atkinson, Kendall Eugene 1 Barea, Rafael 1 Bastías, Katherine Ormeño 1 Bogachev, Leonid V. 1 Bonthoux, F. 1 Boquete, Luciano 1 Braconnier, R. 1 Carrigan, Joseph 1 Cherkassky, Boris V. 1 Coirault, Catherine 1 Cortes-Morichetti, M. 1 Dasmahapatra, Srinandan 1 Davies, Penny J. 1 Doty, Stephen R. 1 du Manoir, H. 1 Duncan, Dugald B. 1 Dunk, K. 1 Elgamal, Ahmed 1 Finch, Peter E. 1 Fontaine, Jean-Raymond 1 Galland, B. 1 García, Ricardo 1 Girault, Manuel 1 Goldberg, Andrew V. 1 Graham, John J. 1 Grimm, Uwe 1 Hazi, Amit 1 Hebert, Jaimie L. 1 Hietarinta, Jarmo 1 Hinrichsen, Haye 1 Jiang, Wenchao 1 Kimball, Andrew 1 Koppen, Vincent 1 Krokidis, Xénophon 1 Lanz, M. F. 1 Lecarpentier, Yves 1 Lewis, Julian 1 Liu, Jia-bao 1 Macias-Virgós, Enrique 1 Maillet, Denis 1 Mazo, Manuel jun. 1 McAnally, David S. 1 Muir, Lindsey 1 Murray, James Dickson 1 Peyen, Jean C. 1 Pineau, T. 1 Quillard, J. 1 Rajapakse, Indika 1 Rodríguez, Francisco J. 1 Rollet, Geneviève 1 Rushanan, Michael 1 Rynne, Bryan P. 1 Scheunert, Manfred 1 Setubal, João C. 1 Sherratt, Jonathan A. 1 Shmoys, David B. 1 Stolfi, Jorge 1 Wang, Zhenghan 1 Xi, Changchang 1 Yu, Shona 1 Zakaria, Siti Fatimah 1 Zhai, Yinhu 1 Zhao, Zhiming 1 Zhuang, Zhigang all top 5 Serials 16 Journal of Physics A: Mathematical and General 10 Journal of Algebra 4 International Journal of Modern Physics A 3 Communications in Mathematical Physics 3 Journal of Pure and Applied Algebra 2 International Journal of Modern Physics B 2 Letters in Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Journal of Statistical Mechanics: Theory and Experiment 1 Communications in Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Inverse Problems 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Reviews in Mathematical Physics 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Semigroup Forum 1 International Journal of Production Research 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Notices of the American Mathematical Society 1 Neurocomputing 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Combinatorics 1 Representation Theory 1 Advances in Theoretical and Mathematical Physics 1 Annals of Combinatorics 1 LMS Journal of Computation and Mathematics 1 The Quarterly Journal of Mathematics 1 Journal of Algebra and its Applications 1 ACM Journal of Experimental Algorithmics 1 Series on Advances in Statistical Mechanics 1 Lecture Notes in Computational Science and Engineering 1 Journal of Physics A: Mathematical and Theoretical 1 Symmetry 1 Journal of Theoretical Biology 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Bleue all top 5 Fields 40 Statistical mechanics, structure of matter (82-XX) 38 Group theory and generalizations (20-XX) 35 Associative rings and algebras (16-XX) 29 Nonassociative rings and algebras (17-XX) 24 Combinatorics (05-XX) 24 Quantum theory (81-XX) 8 Manifolds and cell complexes (57-XX) 7 Topological groups, Lie groups (22-XX) 6 Category theory; homological algebra (18-XX) 5 Computer science (68-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 1,037 times in 446 Documents Cited by ▼ Year ▼ Potts models and related problems in statistical mechanics. Zbl 0734.17012 Martin, Paul 130 1991 Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002 Martin, Paul 108 1994 The structure of the partition algebras. Zbl 0863.20009 Martin, Paul 78 1996 The blob algebra and the periodic Temperley-Lieb algebra. Zbl 0799.16005 Martin, Paul; Saleur, Hubert 74 1994 On an algebraic approach to higher dimensional statistical mechanics. Zbl 0784.05056 Martin, Paul; Saleur, Hubert 51 1993 On the blocks of the walled Brauer algebra. Zbl 1196.20004 Cox, Anton; De Visscher, Maud; Doty, Stephen; Martin, Paul 41 2008 The blocks of the Brauer algebra in characteristic zero. Zbl 1230.20046 Cox, Anton; De Visscher, Maud; Martin, Paul 36 2009 On the structure of the blob algebra. Zbl 0947.16006 Martin, Paul P.; Woodcock, David 34 2000 The partition algebra and the Potts model transfer matrix spectrum in high dimensions. Zbl 0951.82006 Martin, P. P. 31 2000 Generalized blob algebras and alcove geometry. Zbl 1080.20004 Martin, Paul P.; Woodcock, David 30 2003 A geometric characterisation of the blocks of the Brauer algebra. Zbl 1231.20042 Cox, Anton; De Visscher, Maud; Martin, Paul 27 2009 On Schur-Weyl duality, \(A_n\) Hecke algebras and quantum \(sl(N)\) on \(\otimes^{n+1}\mathbb{C}^N\). Zbl 0925.17013 Martin, Paul Purdon 24 1992 On the representation theory of partial Brauer algebras. Zbl 1354.16016 Martin, Paul; Mazorchuk, Volodymyr 23 2014 Representation theory of towers of recollement: theory, notes, and examples. Zbl 1147.16016 Cox, Anton; Martin, Paul; Parker, Alison; Xi, Changchang 22 2006 The Potts model representation and a Robinson-Schensted correspondence for the partition algebra. Zbl 0899.05070 Martin, P. P.; Rollet, G. 20 1998 The decomposition matrices of the Brauer algebra over the complex field. Zbl 1362.16020 Martin, Paul P. 20 2015 The blob algebra in positive characteristic. Zbl 1144.20300 Cox, Anton; Graham, John; Martin, Paul 20 2003 Algebras in higher-dimensional statistical mechanics – the exceptional partition (mean field) algebras. Zbl 0799.16004 Martin, Paul; Saleur, Hubert 19 1994 Representations of graph Temperley-Lieb algebras. Zbl 0718.17025 Martin, Paul P. 18 1990 The partition algebras and a new deformation of the Schur algebras. Zbl 0923.20009 Martin, P.; Woodcock, D. 15 1998 A new approach to computing optimal schedules for the job-shop scheduling problem. Zbl 1414.90162 Martin, Paul; Shmoys, David B. 15 1996 Hecke algebraic approach to the reflection equation for spin chains. Zbl 1042.82012 Doikou, A.; Martin, P. P. 14 2003 Local representations of the loop braid group. Zbl 1430.20006 Kádár, Zoltán; Martin, Paul; Rowell, Eric; Wang, Zhenghan 13 2017 On diagram categories, representation theory and statistical mechanics. Zbl 1143.82300 Martin, Paul 11 2008 Hecke algebra solutions to the reflection equation. Zbl 0843.17008 Levy, Dan; Martin, Paul 10 1994 Ramified partition algebras. Zbl 1091.16010 Martin, P. P.; Elgamal, A. 10 2004 Virtual algebraic Lie theory: tilting modules and Ringel duals for blob algebras. Zbl 1134.20301 Martin, P. P.; Ryom-Hansen, S. 10 2004 On central idempotents in the partition algebra. Zbl 0933.20006 Martin, P.; Woodcock, D. 9 1999 An algebraic approach to vertex models and transfer matrix spectra. Zbl 0925.17006 Deguchi, T.; Martin, P. P. 9 1992 Augment or push? {A} computational study of bipartite matching and unit capacity flow algorithms. Zbl 1073.68903 Cherkassky, Boris V.; Goldberg, Andrew V.; Martin, Paul; Setubal, João C.; Stolfi, Jorge 9 1998 Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond. Zbl 1156.16010 Martin, Paul; Green, R. M.; Parker, Alison 9 2007 On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary. Zbl 1244.81035 Doikou, Anastasia; Martin, Paul P. 9 2006 Constructing cell data for diagram algebras. Zbl 1137.16023 Green, R. M.; Martin, P. P. 8 2007 A diagrammatic approach to Hecke algebras of the reflection equation. Zbl 1043.81556 Martin, Paul P.; Woodcock, David; Levy, Dan 8 2000 On commutants, dual pairs and non-semisimple algebras from statistical mechanics. Zbl 0925.17012 Martin, Paul P.; McAnally, David S. 8 1992 A template for quantum spin chain spectra. Zbl 0925.17004 Martin, Paul; Rittenberg, Vladimir 8 1992 Partitioned binary relations. Zbl 1284.18006 Martin, Paul; Mazorchuk, Volodymyr 8 2013 Alcove geometry and a translation principle for the Brauer algebra. Zbl 1269.20038 Cox, Anton; De Visscher, Maud; Martin, Paul 8 2011 Representations of the necklace braid group: topological and combinatorial approaches. Zbl 1452.20032 Bullivant, Alex; Kimball, Andrew; Martin, Paul; Rowell, Eric C. 8 2020 On algebraic diagonalization of the \(XXZ\) chain. Zbl 1264.82048 Martin, Paul; Saleur, Hubert 7 1996 Topics in computational wave propagation. Direct and inverse problems. Zbl 1018.00017 7 2003 Higher lattices, discrete two-dimensional holonomy and topological phases in \((3+1)\) d with higher gauge symmetry. Zbl 1444.81036 Bullivant, Alex; Calçada, Marcos; Kádár, Zoltán; Martins, João Faria; Martin, Paul 7 2020 Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013 Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian 6 1992 Temperley-Lieb algebra, group theory and the Potts model. Zbl 0668.22010 Martin, P. P. 4 1988 The bubble algebra: Structure of a two-colour Temperley–Lieb algebras. Zbl 1053.81074 Grimm, Uwe; Martin, Paul P. 4 2003 Temperley-Lieb algebras and the long distance properties of statistical mechanical models. Zbl 0704.22020 Martin, P. P. 4 1990 Representations of the loop braid group and Aharonov-Bohm like effects in discrete \((3+1)\)-dimensional higher gauge theory. Zbl 1518.81091 Bullivant, Alex; Faria Martins, João; Martin, Paul 4 2019 On the number of principal ideals in \(d\)-tonal partition monoids. Zbl 1475.11221 Ahmed, Chwas; Martin, Paul; Mazorchuk, Volodymyr 4 2021 Estimation of time-varying pollutant emission rates in a ventilated enclosure: Inversion of a reduced model obtained by experimental application of the modal identification method. Zbl 1141.80009 Girault, M.; Maillet, D.; Bonthoux, F.; Galland, B.; Martin, P.; Braconnier, R.; Fontaine, J. R. 3 2008 Tiling bijections between paths and Brauer diagrams. Zbl 1262.05009 Marsh, Robert J.; Martin, Paul 2 2011 The structure of \(n\)-variable polynomial rings as Hecke algebra modules. Zbl 0833.20018 Martin, Paul 2 1993 A presentation for the symplectic blob algebra. Zbl 1279.16016 Green, R. M.; Martin, P. P.; Parker, A. E. 2 2012 On central idempotents in the Brauer algebra. Zbl 1444.16016 King, O. H.; Martin, P. P.; Parker, A. E. 2 2018 Vertex labeling and routing for Farey-type symmetrically-structured graphs. Zbl 1423.05145 Jiang, Wenchao; Zhai, Yinhu; Zhuang, Zhigang; Martin, Paul; Zhao, Zhiming; Liu, Jia-Bao 2 2018 Indecomposable tilting modules for the blob algebra. Zbl 1458.20005 Hazi, A.; Martin, P. P.; Parker, A. E. 2 2021 Exact finite lattice results for \(Z_ n\) symmetric spin models. Zbl 0667.60101 Martin, P. P. 1 1988 All direct sum representations of the Temperley-Lieb algebra. Zbl 0668.22009 Martin, P. P. 1 1987 Higher-dimensional Temperley-Lieb algebras. Zbl 1122.81052 Alvarez, Marcos; Martin, Paul P. 1 2007 On the two-point correlation functions for the \(U_q[\text{SU}(2)]\) invariant spin one-half Heisenberg chain at roots of unity. Zbl 1007.82503 Hinrichsen, H.; Martin, P. P.; Rittenberg, V.; Scheunert, M. 1 1994 Numerical calculation of the frequency of an oscillatory problem. Zbl 0974.65071 Martín, P.; Velasco, A. 1 2000 An attribute design method: A new approach to flexible welding machine design. Zbl 0904.90070 Dunk, K.; Lee, C.; Martin, P. 1 1994 On quantum spin-chain spectra and the structure of Hecke algebras and \(q\)-groups at roots of unity. Zbl 0953.82014 Martin, Paul P.; Woodcock, David 1 1998 String-like lattice models and Hecke algebras. Zbl 0695.17006 Martin, P. P. 1 1989 Block spin transformations in the operator formulation of two-dimensional Potts models. Zbl 0716.60129 Martin, P. P. 1 1989 On Brauer algebra simple modules over the complex field. Zbl 1417.20012 De Visscher, Maud; Martin, Paul P. 1 2017 On the exceptional structure of \(\mathrm{End}_{U_q\mathrm{sl}_2}(V^{\otimes n}_N)\). Zbl 1264.17012 Martin, Paul; Saleur, Hubert 1 1996 On geometrically defined extensions of the Temperley-Lieb category in the Brauer category. Zbl 1471.16040 Kádár, Z.; Martin, P. P.; Yu, S. 1 2019 Zeros of the 3-state Potts model partition function for the square lattice revisited. Zbl 1457.82082 Martin, Paul P.; Zakaria, Siti Fatimah 1 2019 On a canonical lift of Artin’s representation to loop braid groups. Zbl 07371428 Damiani, Celeste; Faria Martins, João; Martin, Paul Purdon 1 2021 On the number of principal ideals in \(d\)-tonal partition monoids. Zbl 1475.11221 Ahmed, Chwas; Martin, Paul; Mazorchuk, Volodymyr 4 2021 Indecomposable tilting modules for the blob algebra. Zbl 1458.20005 Hazi, A.; Martin, P. P.; Parker, A. E. 2 2021 On a canonical lift of Artin’s representation to loop braid groups. Zbl 07371428 Damiani, Celeste; Faria Martins, João; Martin, Paul Purdon 1 2021 Representations of the necklace braid group: topological and combinatorial approaches. Zbl 1452.20032 Bullivant, Alex; Kimball, Andrew; Martin, Paul; Rowell, Eric C. 8 2020 Higher lattices, discrete two-dimensional holonomy and topological phases in \((3+1)\) d with higher gauge symmetry. Zbl 1444.81036 Bullivant, Alex; Calçada, Marcos; Kádár, Zoltán; Martins, João Faria; Martin, Paul 7 2020 Representations of the loop braid group and Aharonov-Bohm like effects in discrete \((3+1)\)-dimensional higher gauge theory. Zbl 1518.81091 Bullivant, Alex; Faria Martins, João; Martin, Paul 4 2019 On geometrically defined extensions of the Temperley-Lieb category in the Brauer category. Zbl 1471.16040 Kádár, Z.; Martin, P. P.; Yu, S. 1 2019 Zeros of the 3-state Potts model partition function for the square lattice revisited. Zbl 1457.82082 Martin, Paul P.; Zakaria, Siti Fatimah 1 2019 On central idempotents in the Brauer algebra. Zbl 1444.16016 King, O. H.; Martin, P. P.; Parker, A. E. 2 2018 Vertex labeling and routing for Farey-type symmetrically-structured graphs. Zbl 1423.05145 Jiang, Wenchao; Zhai, Yinhu; Zhuang, Zhigang; Martin, Paul; Zhao, Zhiming; Liu, Jia-Bao 2 2018 Local representations of the loop braid group. Zbl 1430.20006 Kádár, Zoltán; Martin, Paul; Rowell, Eric; Wang, Zhenghan 13 2017 On Brauer algebra simple modules over the complex field. Zbl 1417.20012 De Visscher, Maud; Martin, Paul P. 1 2017 The decomposition matrices of the Brauer algebra over the complex field. Zbl 1362.16020 Martin, Paul P. 20 2015 On the representation theory of partial Brauer algebras. Zbl 1354.16016 Martin, Paul; Mazorchuk, Volodymyr 23 2014 Partitioned binary relations. Zbl 1284.18006 Martin, Paul; Mazorchuk, Volodymyr 8 2013 A presentation for the symplectic blob algebra. Zbl 1279.16016 Green, R. M.; Martin, P. P.; Parker, A. E. 2 2012 Alcove geometry and a translation principle for the Brauer algebra. Zbl 1269.20038 Cox, Anton; De Visscher, Maud; Martin, Paul 8 2011 Tiling bijections between paths and Brauer diagrams. Zbl 1262.05009 Marsh, Robert J.; Martin, Paul 2 2011 The blocks of the Brauer algebra in characteristic zero. Zbl 1230.20046 Cox, Anton; De Visscher, Maud; Martin, Paul 36 2009 A geometric characterisation of the blocks of the Brauer algebra. Zbl 1231.20042 Cox, Anton; De Visscher, Maud; Martin, Paul 27 2009 On the blocks of the walled Brauer algebra. Zbl 1196.20004 Cox, Anton; De Visscher, Maud; Doty, Stephen; Martin, Paul 41 2008 On diagram categories, representation theory and statistical mechanics. Zbl 1143.82300 Martin, Paul 11 2008 Estimation of time-varying pollutant emission rates in a ventilated enclosure: Inversion of a reduced model obtained by experimental application of the modal identification method. Zbl 1141.80009 Girault, M.; Maillet, D.; Bonthoux, F.; Galland, B.; Martin, P.; Braconnier, R.; Fontaine, J. R. 3 2008 Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond. Zbl 1156.16010 Martin, Paul; Green, R. M.; Parker, Alison 9 2007 Constructing cell data for diagram algebras. Zbl 1137.16023 Green, R. M.; Martin, P. P. 8 2007 Higher-dimensional Temperley-Lieb algebras. Zbl 1122.81052 Alvarez, Marcos; Martin, Paul P. 1 2007 Representation theory of towers of recollement: theory, notes, and examples. Zbl 1147.16016 Cox, Anton; Martin, Paul; Parker, Alison; Xi, Changchang 22 2006 On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary. Zbl 1244.81035 Doikou, Anastasia; Martin, Paul P. 9 2006 Ramified partition algebras. Zbl 1091.16010 Martin, P. P.; Elgamal, A. 10 2004 Virtual algebraic Lie theory: tilting modules and Ringel duals for blob algebras. Zbl 1134.20301 Martin, P. P.; Ryom-Hansen, S. 10 2004 Generalized blob algebras and alcove geometry. Zbl 1080.20004 Martin, Paul P.; Woodcock, David 30 2003 The blob algebra in positive characteristic. Zbl 1144.20300 Cox, Anton; Graham, John; Martin, Paul 20 2003 Hecke algebraic approach to the reflection equation for spin chains. Zbl 1042.82012 Doikou, A.; Martin, P. P. 14 2003 Topics in computational wave propagation. Direct and inverse problems. Zbl 1018.00017 7 2003 The bubble algebra: Structure of a two-colour Temperley–Lieb algebras. Zbl 1053.81074 Grimm, Uwe; Martin, Paul P. 4 2003 On the structure of the blob algebra. Zbl 0947.16006 Martin, Paul P.; Woodcock, David 34 2000 The partition algebra and the Potts model transfer matrix spectrum in high dimensions. Zbl 0951.82006 Martin, P. P. 31 2000 A diagrammatic approach to Hecke algebras of the reflection equation. Zbl 1043.81556 Martin, Paul P.; Woodcock, David; Levy, Dan 8 2000 Numerical calculation of the frequency of an oscillatory problem. Zbl 0974.65071 Martín, P.; Velasco, A. 1 2000 On central idempotents in the partition algebra. Zbl 0933.20006 Martin, P.; Woodcock, D. 9 1999 The Potts model representation and a Robinson-Schensted correspondence for the partition algebra. Zbl 0899.05070 Martin, P. P.; Rollet, G. 20 1998 The partition algebras and a new deformation of the Schur algebras. Zbl 0923.20009 Martin, P.; Woodcock, D. 15 1998 Augment or push? {A} computational study of bipartite matching and unit capacity flow algorithms. Zbl 1073.68903 Cherkassky, Boris V.; Goldberg, Andrew V.; Martin, Paul; Setubal, João C.; Stolfi, Jorge 9 1998 On quantum spin-chain spectra and the structure of Hecke algebras and \(q\)-groups at roots of unity. Zbl 0953.82014 Martin, Paul P.; Woodcock, David 1 1998 The structure of the partition algebras. Zbl 0863.20009 Martin, Paul 78 1996 A new approach to computing optimal schedules for the job-shop scheduling problem. Zbl 1414.90162 Martin, Paul; Shmoys, David B. 15 1996 On algebraic diagonalization of the \(XXZ\) chain. Zbl 1264.82048 Martin, Paul; Saleur, Hubert 7 1996 On the exceptional structure of \(\mathrm{End}_{U_q\mathrm{sl}_2}(V^{\otimes n}_N)\). Zbl 1264.17012 Martin, Paul; Saleur, Hubert 1 1996 Temperley-Lieb algebras for non-planar statistical mechanics. – The partition algebra construction. Zbl 0804.16002 Martin, Paul 108 1994 The blob algebra and the periodic Temperley-Lieb algebra. Zbl 0799.16005 Martin, Paul; Saleur, Hubert 74 1994 Algebras in higher-dimensional statistical mechanics – the exceptional partition (mean field) algebras. Zbl 0799.16004 Martin, Paul; Saleur, Hubert 19 1994 Hecke algebra solutions to the reflection equation. Zbl 0843.17008 Levy, Dan; Martin, Paul 10 1994 On the two-point correlation functions for the \(U_q[\text{SU}(2)]\) invariant spin one-half Heisenberg chain at roots of unity. Zbl 1007.82503 Hinrichsen, H.; Martin, P. P.; Rittenberg, V.; Scheunert, M. 1 1994 An attribute design method: A new approach to flexible welding machine design. Zbl 0904.90070 Dunk, K.; Lee, C.; Martin, P. 1 1994 On an algebraic approach to higher dimensional statistical mechanics. Zbl 0784.05056 Martin, Paul; Saleur, Hubert 51 1993 The structure of \(n\)-variable polynomial rings as Hecke algebra modules. Zbl 0833.20018 Martin, Paul 2 1993 On Schur-Weyl duality, \(A_n\) Hecke algebras and quantum \(sl(N)\) on \(\otimes^{n+1}\mathbb{C}^N\). Zbl 0925.17013 Martin, Paul Purdon 24 1992 An algebraic approach to vertex models and transfer matrix spectra. Zbl 0925.17006 Deguchi, T.; Martin, P. P. 9 1992 On commutants, dual pairs and non-semisimple algebras from statistical mechanics. Zbl 0925.17012 Martin, Paul P.; McAnally, David S. 8 1992 A template for quantum spin chain spectra. Zbl 0925.17004 Martin, Paul; Rittenberg, Vladimir 8 1992 Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013 Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian 6 1992 Potts models and related problems in statistical mechanics. Zbl 0734.17012 Martin, Paul 130 1991 Representations of graph Temperley-Lieb algebras. Zbl 0718.17025 Martin, Paul P. 18 1990 Temperley-Lieb algebras and the long distance properties of statistical mechanical models. Zbl 0704.22020 Martin, P. P. 4 1990 String-like lattice models and Hecke algebras. Zbl 0695.17006 Martin, P. P. 1 1989 Block spin transformations in the operator formulation of two-dimensional Potts models. Zbl 0716.60129 Martin, P. P. 1 1989 Temperley-Lieb algebra, group theory and the Potts model. Zbl 0668.22010 Martin, P. P. 4 1988 Exact finite lattice results for \(Z_ n\) symmetric spin models. Zbl 0667.60101 Martin, P. P. 1 1988 All direct sum representations of the Temperley-Lieb algebra. Zbl 0668.22009 Martin, P. P. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 456 Authors 33 Martin, Paul Purdon 22 Saleur, Hubert 21 East, James 14 Gainutdinov, Azat M. 14 Jacobsen, Jesper Lykke 12 Halverson, Thomas 12 Rui, Hebing 11 Bowman, Christopher David 10 Doikou, Anastasia 10 Orellana, Rosa C. 9 Cox, Anton 9 De Visscher, Maud 9 Doty, Stephen R. 9 Mazorchuk, Volodymyr 9 Shrock, Robert E. 8 Green, Richard M. 7 Chang, Shu-Chiuan 7 de Gier, Jan 7 Dolinka, Igor 7 Song, Linliang 7 Stroppel, Catharina H. 6 Benkart, Georgia McClure 6 Morin-Duchesne, Alexi 6 Read, Nicholas 6 Ryom-Hansen, Steen 6 Xi, Changchang 6 Zabrocki, Mike 5 Belletête, Jonathan 5 FitzGerald, Desmond G. 5 Kulish, Petr Petrovich 5 Lehrer, Gustav Isaac 5 Motegi, Kohei 5 Parker, Alison E. 5 Rowell, Eric C. 5 Ruškuc, Nik 5 Saint-Aubin, Yvan 5 Shalile, Armin 5 Srivastava, Shraddha 5 Zinn-Justin, Paul 4 Bullivant, Alex 4 Kennedy, A. Joseph 4 Nepomechie, Rafael I. 4 Pearce, Paul A. 4 Plaza, David 4 Si, Mei 4 Tipunin, Ilya Yu. 4 Tubbenhauer, Daniel 4 Vaz, Pedro 4 Woodcock, David J. 4 Zhang, Ruibin 3 Andersen, Henning Haahr 3 Bondesan, Roberto 3 Comes, Jonathan 3 Coulembier, Kevin 3 Crampé, Nicolas 3 Delcamp, Clement 3 Donkin, Stephen 3 Ehrig, Michael 3 Frappat, Luc 3 Gray, Robert D. 3 Hazi, Amit 3 Kádár, Zoltán 3 King, Oliver Henry 3 König, Steffen 3 Kudryavtseva, Ganna 3 Lacabanne, Abel 3 Martin, Stuart 3 Martins, João Nuno Goncalves Faria 3 Moore, Stephen T. 3 Nichols, Alexander 3 Patzt, Peter 3 Przytycki, Józef Henryk 3 Ragoucy, Eric 3 Ramgoolam, Sanjaye 3 Rittenberg, Vladimir 3 Saliola, Franco V. 3 Schilling, Anne 3 Tange, Rudolf 3 Tsuboi, Zengo 3 Vasseur, Romain 3 Wang, Zhenghan 3 Westbury, Bruce W. 3 Xiao, Zhankui 3 Yang, Wenli 2 Abdesselam, Boucif 2 Ahmed, Chwas Abas 2 Auinger, Karl 2 Avan, Jean 2 Bazhanov, Vladimir V. 2 Bellingeri, Paolo 2 Bochniak, Arkadiusz 2 Boltje, Robert 2 Boyd, Rachael 2 Brundan, Jonathan 2 Bulgakova, D. V. 2 Campbell, John Maxwell 2 Candu, Constantin 2 Chakrabarti, Amithaba 2 Chang, Liang 2 Chen, Qi ...and 356 more Authors all top 5 Cited in 108 Serials 62 Journal of Algebra 31 Nuclear Physics. B 29 Journal of Pure and Applied Algebra 18 Journal of Statistical Mechanics: Theory and Experiment 17 Advances in Mathematics 16 Journal of High Energy Physics 14 Journal of Mathematical Physics 13 Communications in Algebra 12 Communications in Mathematical Physics 12 Journal of Algebraic Combinatorics 11 Algebras and Representation Theory 10 Journal of Statistical Physics 8 Journal of Combinatorial Theory. Series A 7 Mathematische Zeitschrift 7 Representation Theory 7 Journal of Physics A: Mathematical and Theoretical 6 Letters in Mathematical Physics 6 Physica A 6 Transactions of the American Mathematical Society 6 Transformation Groups 6 Algebraic Combinatorics 5 Pacific Journal of Mathematics 5 Journal of Knot Theory and its Ramifications 5 Selecta Mathematica. New Series 4 Theoretical and Mathematical Physics 4 Journal of Geometry and Physics 4 Advances in Applied Mathematics 3 Discrete Mathematics 3 Reviews in Mathematical Physics 3 Semigroup Forum 3 International Journal of Algebra and Computation 3 Physical Review Letters 3 Journal of Algebra and its Applications 3 Journal of Combinatorial Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Reports on Mathematical Physics 2 Beiträge zur Algebra und Geometrie 2 Journal of the London Mathematical Society. Second Series 2 European Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire 2 Annals of Combinatorics 2 Annales Henri Poincaré 2 Quantum Topology 2 Forum of Mathematics, Sigma 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Algebra Universalis 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Topology and its Applications 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Journal of Robotic Systems 1 Forum Mathematicum 1 International Journal of Mathematics 1 The Annals of Applied Probability 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Nuclear Physics. B. Proceedings Supplements 1 Applied Categorical Structures 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Research Announcements of the American Mathematical Society 1 Geometry & Topology 1 Journal of Integer Sequences 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 Missouri Journal of Mathematical Sciences 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications ...and 8 more Serials all top 5 Cited in 33 Fields 238 Group theory and generalizations (20-XX) 165 Associative rings and algebras (16-XX) 140 Combinatorics (05-XX) 115 Statistical mechanics, structure of matter (82-XX) 104 Quantum theory (81-XX) 96 Nonassociative rings and algebras (17-XX) 45 Category theory; homological algebra (18-XX) 35 Manifolds and cell complexes (57-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic geometry (14-XX) 10 Functional analysis (46-XX) 6 Topological groups, Lie groups (22-XX) 6 Special functions (33-XX) 5 Number theory (11-XX) 5 Probability theory and stochastic processes (60-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 3 \(K\)-theory (19-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year