Edit Profile (opens in new tab) Westbury, Bruce W. Co-Author Distance Author ID: westbury.bruce-w Published as: Westbury, Bruce W.; Westbury, Bruce; Westbury, B. W. more...less Documents Indexed: 46 Publications since 1987, including 13 Additional arXiv Preprints Co-Authors: 21 Co-Authors with 21 Joint Publications 608 Co-Co-Authors all top 5 Co-Authors 25 single-authored 6 Rubey, Martin 3 Barrett, John William 2 Bostan, Alin 2 Martin, Paul Purdon 2 Pfannerer, Stephan 2 Sagan, Bruce Eli 2 Tirrell, Jordan Olliver 2 Zhang, Yi 1 Jones, John D. S. 1 Landsberg, Joseph Montague 1 Launer, Guy 1 Manivel, Laurent 1 Parashar, Deepak 1 Plymen, Roger J. 1 Povolotsky, Alexander 1 Pyatov, Pavel 1 Savage, Alistair 1 Sikora, Adam S. 1 Tribe, Roger P. 1 Zaboronski, Oleg V. 1 Zinn-Justin, Paul all top 5 Serials 3 Journal of Physics A: Mathematical and General 3 Journal of Algebraic Combinatorics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 The Electronic Journal of Combinatorics 1 International Journal of Modern Physics A 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Topology 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 European Journal of Combinatorics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Experimental Mathematics 1 Séminaire Lotharingien de Combinatoire 1 Algebraic & Geometric Topology 1 Algebraic Combinatorics all top 5 Fields 20 Nonassociative rings and algebras (17-XX) 13 Combinatorics (05-XX) 10 Manifolds and cell complexes (57-XX) 9 Group theory and generalizations (20-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Associative rings and algebras (16-XX) 7 Category theory; homological algebra (18-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 2 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 457 times in 384 Documents Cited by ▼ Year ▼ Invariants of piecewise-linear 3-manifolds. Zbl 0865.57013 Barrett, John W.; Westbury, Bruce W. 104 1996 Spherical categories. Zbl 0930.18004 Barrett, John W.; Westbury, Bruce W. 86 1999 The representation theory of the Temperley-Lieb algebras. Zbl 0840.16008 Westbury, B. W. 74 1995 Confluence theory for graphs. Zbl 1202.57004 Sikora, Adam S.; Westbury, Bruce W. 25 2007 Universal characters from the MacDonald identities. Zbl 1106.17009 Westbury, Bruce W. 21 2006 Sextonions and the magic square. Zbl 1154.17304 Westbury, Bruce W. 17 2006 Invariant tensors and cellular categories. Zbl 1242.16016 Westbury, Bruce W. 15 2009 Invariant tensors and the cyclic sieving phenomenon. Zbl 1351.05231 Westbury, Bruce W. 15 2016 Invariant tensors and diagrams. Zbl 1080.18501 Westbury, Bruce 13 2003 The equality of 3-manifold invariants. Zbl 0861.57024 Barrett, John W.; Westbury, Bruce W. 12 1995 Enumeration of non-positive planar trivalent graphs. Zbl 1117.05055 Westbury, Bruce W. 12 2007 Invariant tensors for the spin representation of \(\mathfrak{so}(7)\). Zbl 1236.17028 Westbury, Bruce W. 11 2008 Promotion on oscillating and alternating tableaux and rotation of matchings and permutations. Zbl 1433.05329 Pfannerer, Stephan; Rubey, Martin; Westbury, Bruce 8 2020 A generating function for spin network evaluations. Zbl 0902.57010 Westbury, Bruce W. 7 1998 \(R\)-matrices and the magic square. Zbl 1051.17007 Westbury, Bruce W. 6 2003 Algebraic K-theory, homology spheres, and the \(\eta\)-invariant. Zbl 0867.55006 Jones, J. D. S.; Westbury, B. W. 5 1995 Web bases for the general linear groups. Zbl 1272.17020 Westbury, Bruce W. 5 2012 Combinatorics of symplectic invariant tensors. Zbl 1335.05232 Rubey, Martin; Westbury, Bruce W. 5 2015 On some combinatorial sequences associated to invariant theory. Zbl 1498.05014 Bostan, Alin; Tirrell, Jordan; Westbury, Bruce W.; Zhang, Yi 3 2022 Quotients of the braid group algebras. Zbl 0878.57012 Westbury, Bruce W. 2 1997 Descent sets for oscillating tableaux. Zbl 1294.05176 Rubey, Martin; Sagan, Bruce E.; Westbury, Bruce W. 2 2013 Descent sets for symplectic groups. Zbl 1297.05252 Rubey, Martin; Sagan, Bruce E.; Westbury, Bruce W. 2 2014 Coboundary categories and local rules. Zbl 1398.05225 Westbury, Bruce W. 2 2018 Series of nilpotent orbits. Zbl 1108.14037 Landsberg, J. M.; Manivel, Laurent; Westbury, Bruce W. 1 2004 Promotion, evacuation and cactus groups. Zbl 1385.05079 Pfannerer, Stephan; Rubey, Martin; Westbury, Bruce W. 1 2017 Complex conformal rescaling and spin-structure. Zbl 0613.53045 Plymen, R. J.; Westbury, B. W. 1 1987 On some combinatorial sequences associated to invariant theory. Zbl 1498.05014 Bostan, Alin; Tirrell, Jordan; Westbury, Bruce W.; Zhang, Yi 3 2022 Promotion on oscillating and alternating tableaux and rotation of matchings and permutations. Zbl 1433.05329 Pfannerer, Stephan; Rubey, Martin; Westbury, Bruce 8 2020 Coboundary categories and local rules. Zbl 1398.05225 Westbury, Bruce W. 2 2018 Promotion, evacuation and cactus groups. Zbl 1385.05079 Pfannerer, Stephan; Rubey, Martin; Westbury, Bruce W. 1 2017 Invariant tensors and the cyclic sieving phenomenon. Zbl 1351.05231 Westbury, Bruce W. 15 2016 Combinatorics of symplectic invariant tensors. Zbl 1335.05232 Rubey, Martin; Westbury, Bruce W. 5 2015 Descent sets for symplectic groups. Zbl 1297.05252 Rubey, Martin; Sagan, Bruce E.; Westbury, Bruce W. 2 2014 Descent sets for oscillating tableaux. Zbl 1294.05176 Rubey, Martin; Sagan, Bruce E.; Westbury, Bruce W. 2 2013 Web bases for the general linear groups. Zbl 1272.17020 Westbury, Bruce W. 5 2012 Invariant tensors and cellular categories. Zbl 1242.16016 Westbury, Bruce W. 15 2009 Invariant tensors for the spin representation of \(\mathfrak{so}(7)\). Zbl 1236.17028 Westbury, Bruce W. 11 2008 Confluence theory for graphs. Zbl 1202.57004 Sikora, Adam S.; Westbury, Bruce W. 25 2007 Enumeration of non-positive planar trivalent graphs. Zbl 1117.05055 Westbury, Bruce W. 12 2007 Universal characters from the MacDonald identities. Zbl 1106.17009 Westbury, Bruce W. 21 2006 Sextonions and the magic square. Zbl 1154.17304 Westbury, Bruce W. 17 2006 Series of nilpotent orbits. Zbl 1108.14037 Landsberg, J. M.; Manivel, Laurent; Westbury, Bruce W. 1 2004 Invariant tensors and diagrams. Zbl 1080.18501 Westbury, Bruce 13 2003 \(R\)-matrices and the magic square. Zbl 1051.17007 Westbury, Bruce W. 6 2003 Spherical categories. Zbl 0930.18004 Barrett, John W.; Westbury, Bruce W. 86 1999 A generating function for spin network evaluations. Zbl 0902.57010 Westbury, Bruce W. 7 1998 Quotients of the braid group algebras. Zbl 0878.57012 Westbury, Bruce W. 2 1997 Invariants of piecewise-linear 3-manifolds. Zbl 0865.57013 Barrett, John W.; Westbury, Bruce W. 104 1996 The representation theory of the Temperley-Lieb algebras. Zbl 0840.16008 Westbury, B. W. 74 1995 The equality of 3-manifold invariants. Zbl 0861.57024 Barrett, John W.; Westbury, Bruce W. 12 1995 Algebraic K-theory, homology spheres, and the \(\eta\)-invariant. Zbl 0867.55006 Jones, J. D. S.; Westbury, B. W. 5 1995 Complex conformal rescaling and spin-structure. Zbl 0613.53045 Plymen, R. J.; Westbury, B. W. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 473 Authors 17 Westbury, Bruce W. 10 Geer, Nathan 10 Mkrtchyan, Ruben L. 9 Morin-Duchesne, Alexi 9 Patureau-Mirand, Bertrand 7 Runkel, Ingo 7 Schaumann, Gregor 6 Delcamp, Clement 6 Meusburger, Catherine 6 Morrison, Scott 6 Pfannerer, Stephan 6 Pfeiffer, Hendryk 6 Rubey, Martin 6 Saint-Aubin, Yvan 6 Schweigert, Christoph 6 Sikora, Adam S. 6 Snyder, Noah 5 Avetisyan, Maneh Y. 5 Benkart, Georgia McClure 5 Elias, Benjamin 5 Frohman, Charles D. 5 Fuchs, Jürgen 5 Halverson, Thomas 5 Ostrik, Victor Valentinovich 5 Rasmussen, Jorgen 4 Barrett, John William 4 Dittrich, Bianca 4 Heim, Bernhard Ernst 4 Livine, Etera R. 4 Müger, Michael 4 Neuhauser, Markus 4 Przytycki, Józef Henryk 4 Shimizu, Kenichi 4 Stroppel, Catharina H. 4 Tubbenhauer, Daniel 4 Vay, Cristian 4 Virelizier, Alexis 4 Wang, Zhenghan 3 Andersen, Henning Haahr 3 Belletête, Jonathan 3 Brundan, Jonathan 3 Bullivant, Alex 3 Carqueville, Nils 3 Cui, Shawn Xingshan 3 Etingof, Pavel Il’ich 3 Girelli, Florian 3 Kim, Minkyu 3 Kuperberg, Gregory John 3 Lauda, Aaron D. 3 Le, Thang Tu Quoc 3 Marrani, Alessio 3 Mathieu, Philippe 3 Ono, Ken 3 Pearce, Paul A. 3 Peters, Emily 3 Purbhoo, Kevin 3 Pylyavskyy, Pavlo 3 Ruelle, Philippe 3 Thuillier, Frank 3 Tiwari, Apoorv 3 Turaev, Vladimir Georgievich 3 Wang, Pei 3 Xi, Changchang 3 Yamagami, Shigeru 2 Alexandersson, Per 2 Anastasiou, Alexandros 2 Andruskiewitsch, Nicolás 2 Anghel, Cristina Ana-Maria 2 Berest, Yuri Yu. 2 Bonzom, Valentin 2 Borsten, Leron 2 Bowman, Christopher David 2 Bridgeman, Jacob C. 2 Bruguières, Alain 2 Chang, Liang 2 Chen, Qi 2 Costantino, Francesco 2 De Visscher, Maud 2 Deng, Bangming 2 Douglas, Daniel Charles 2 Duff, Michael J. 2 Elduque, Alberto 2 Enyang, John 2 Fan, C. Kenneth 2 Fendley, Paul 2 Fontaine, Bruce 2 Freidel, Laurent 2 Garoufalidis, Stavros 2 Halbig, Sebastian 2 Han, Guo-Niu 2 Hopkins, Samuel Francis 2 Inamura, Kansei 2 Jagenteufel, Judith 2 Jia, Zhian 2 Jones, Brant C. 2 Jones, Corey 2 Kania-Bartoszyńska, Joanna 2 Karuo, Hiroaki 2 Kaszlikowski, Dagomir 2 Khovanov, Mikhail G. ...and 373 more Authors all top 5 Cited in 101 Serials 29 Advances in Mathematics 24 Journal of Algebra 18 Journal of Mathematical Physics 18 Journal of Knot Theory and its Ramifications 17 Communications in Mathematical Physics 17 Journal of High Energy Physics 11 Journal of Pure and Applied Algebra 9 Journal of Statistical Mechanics: Theory and Experiment 9 Quantum Topology 8 Letters in Mathematical Physics 8 Transactions of the American Mathematical Society 8 Geometry & Topology 7 The Electronic Journal of Combinatorics 7 Selecta Mathematica. New Series 7 Séminaire Lotharingien de Combinatoire 7 Algebraic & Geometric Topology 6 Communications in Algebra 6 Nuclear Physics. B 6 Journal of Algebraic Combinatorics 6 Algebras and Representation Theory 5 Journal of Physics A: Mathematical and Theoretical 5 SciPost Physics 4 Journal of Geometry and Physics 4 Compositio Mathematica 4 Journal of Combinatorial Theory. Series A 4 Mathematische Zeitschrift 4 European Journal of Combinatorics 4 Theory and Applications of Categories 4 Research in Number Theory 3 International Journal of Modern Physics A 3 Discrete Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Topology and its Applications 3 International Journal of Mathematics 3 Annals of Physics 3 Annales Henri Poincaré 3 Journal of Algebra and its Applications 3 Forum of Mathematics, Sigma 3 Algebraic Combinatorics 3 Combinatorial Theory 2 Classical and Quantum Gravity 2 Rocky Mountain Journal of Mathematics 2 Reviews in Mathematical Physics 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Advances in Applied Mathematics 2 Journal of the American Mathematical Society 2 Experimental Mathematics 2 Applied Categorical Structures 2 Documenta Mathematica 2 Transformation Groups 2 Oberwolfach Reports 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Linear Algebra and its Applications 1 Chinese Science Bulletin 1 Russian Journal of Mathematical Physics 1 Filomat 1 The New York Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Representation Theory 1 New Journal of Physics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Missouri Journal of Mathematical Sciences 1 Journal of the Institute of Mathematics of Jussieu 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Topology 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Research in the Mathematical Sciences 1 Proceedings of the American Mathematical Society. Series B 1 Transactions of the American Mathematical Society. Series B 1 Journal of Combinatorial Algebra 1 Journal of Applied and Computational Topology ...and 1 more Serials all top 5 Cited in 36 Fields 112 Manifolds and cell complexes (57-XX) 110 Quantum theory (81-XX) 108 Category theory; homological algebra (18-XX) 89 Nonassociative rings and algebras (17-XX) 85 Associative rings and algebras (16-XX) 79 Combinatorics (05-XX) 78 Group theory and generalizations (20-XX) 34 Statistical mechanics, structure of matter (82-XX) 25 Number theory (11-XX) 22 Algebraic geometry (14-XX) 19 Relativity and gravitational theory (83-XX) 14 Topological groups, Lie groups (22-XX) 13 Differential geometry (53-XX) 12 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Commutative algebra (13-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Geometry (51-XX) 5 Algebraic topology (55-XX) 4 \(K\)-theory (19-XX) 4 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year