Edit Profile (opens in new tab) Bruguières, Alain Compute Distance To: Compute Author ID: bruguieres.alain Published as: Bruguières, Alain; Bruguières, A.; Bruguiéres, Alain; Bruguieres, Alain more...less External Links: MGP Documents Indexed: 21 Publications since 1985, including 1 Book Co-Authors: 8 Co-Authors with 12 Joint Publications 164 Co-Co-Authors all top 5 Co-Authors 9 single-authored 7 Virelizier, Alexis 2 Natale, Sonia 1 Burciu, Sebastian M. 1 Cattaneo, Alberto Sergio 1 Keller, Bernhard 1 Lack, Stephen 1 Maltsiniotis, Georges 1 Torossian, Charles all top 5 Serials 3 Communications in Algebra 2 Advances in Mathematics 1 Acta Mathematica Vietnamica 1 Compositio Mathematica 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Applied Categorical Structures 1 Algebras and Representation Theory 1 Algebraic & Geometric Topology 1 Panoramas et Synthèses all top 5 Fields 17 Category theory; homological algebra (18-XX) 12 Associative rings and algebras (16-XX) 5 Manifolds and cell complexes (57-XX) 4 Nonassociative rings and algebras (17-XX) 4 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 322 times in 244 Documents Cited by ▼ Year ▼ Premodular categories, modularisations and invariants of 3-manifolds. (Catégories prémodulaires, modularisations et invariants des variétés de dimension 3.) Zbl 0943.18004Bruguières, Alain 61 2000 Hopf monads. Zbl 1168.18002Bruguières, Alain; Virelizier, Alexis 59 2007 Hopf monads on monoidal categories. Zbl 1233.18002Bruguières, Alain; Lack, Steve; Virelizier, Alexis 51 2011 Exact sequences of tensor categories. Zbl 1250.18005Bruguières, Alain; Natale, Sonia 36 2011 Quantum double of Hopf monads and categorical centers. Zbl 1288.18004Bruguiéres, Alain; Virelizier, Alexis 27 2012 Noncommutative Tannaka theory. (Théorie tannakienne non commutative.) Zbl 0808.18005Bruguières, Alain 17 1994 Deformation, quantization, Lie theory. (Déformation, quantification, théorie de Lie.) Zbl 1093.53095Cattaneo, Alberto; Keller, Bernhard; Torossian, Charles; Bruguières, Alain 14 2005 Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009Bruguières, Alain; Natale, Sonia 11 2014 Double braidings, twists and tangle invariants. Zbl 1091.57007Bruguières, A. 9 2006 On the center of fusion categories. Zbl 1282.18005Bruguières, Alain; Virelizier, Alexis 6 2013 Tannka duality for quasi-quantum groupoids. (Dualité tannakienne pour les quasi-groupoïdes quantiques.) Zbl 0883.18004Bruguières, Alain 6 1997 The scheme of morphisms from an elliptic curve to a Grassmannian. Zbl 0664.14005Bruguières, A. 5 1987 Braids and integral structure on the category of representations of quantum \(SL_N\). (Tresses et structure entière sur la catégorie des représentations de \(SL_N\) quantique.) Zbl 0951.18003Bruguières, Alain 5 2000 Hopf diagrams and quantum invariants. Zbl 1116.57011Bruguiéres, Alain; Virelizier, Alexis 4 2005 Filtration de Harder-Narasimhan et stratification de Shatz. Zbl 0577.14012Bruguieres, Alain 3 1985 The doubles of a braided Hopf algebra. Zbl 1301.16031Bruguières, Alain; Virelizier, Alexis 2 2013 Quasi-quantum groupoids. (Quasi-groupoïdes quantiques.) Zbl 0836.16020Bruguières, Alain; Maltsiniotis, Georges 2 1994 Categorical centers and Reshetikhin-Turaev invariants. Zbl 1226.57018Bruguières, Alain; Virelizier, Alexis 2 2008 Hopf polyads. Zbl 1386.18016Bruguières, Alain 1 2017 On normal tensor functors and coset decompositions for fusion categories. Zbl 1333.18008Bruguières, A.; Burciu, Sebastian 1 2015 Hopf polyads. Zbl 1386.18016Bruguières, Alain 1 2017 On normal tensor functors and coset decompositions for fusion categories. Zbl 1333.18008Bruguières, A.; Burciu, Sebastian 1 2015 Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009Bruguières, Alain; Natale, Sonia 11 2014 On the center of fusion categories. Zbl 1282.18005Bruguières, Alain; Virelizier, Alexis 6 2013 The doubles of a braided Hopf algebra. Zbl 1301.16031Bruguières, Alain; Virelizier, Alexis 2 2013 Quantum double of Hopf monads and categorical centers. Zbl 1288.18004Bruguiéres, Alain; Virelizier, Alexis 27 2012 Hopf monads on monoidal categories. Zbl 1233.18002Bruguières, Alain; Lack, Steve; Virelizier, Alexis 51 2011 Exact sequences of tensor categories. Zbl 1250.18005Bruguières, Alain; Natale, Sonia 36 2011 Categorical centers and Reshetikhin-Turaev invariants. Zbl 1226.57018Bruguières, Alain; Virelizier, Alexis 2 2008 Hopf monads. Zbl 1168.18002Bruguières, Alain; Virelizier, Alexis 59 2007 Double braidings, twists and tangle invariants. Zbl 1091.57007Bruguières, A. 9 2006 Deformation, quantization, Lie theory. (Déformation, quantification, théorie de Lie.) Zbl 1093.53095Cattaneo, Alberto; Keller, Bernhard; Torossian, Charles; Bruguières, Alain 14 2005 Hopf diagrams and quantum invariants. Zbl 1116.57011Bruguiéres, Alain; Virelizier, Alexis 4 2005 Premodular categories, modularisations and invariants of 3-manifolds. (Catégories prémodulaires, modularisations et invariants des variétés de dimension 3.) Zbl 0943.18004Bruguières, Alain 61 2000 Braids and integral structure on the category of representations of quantum \(SL_N\). (Tresses et structure entière sur la catégorie des représentations de \(SL_N\) quantique.) Zbl 0951.18003Bruguières, Alain 5 2000 Tannka duality for quasi-quantum groupoids. (Dualité tannakienne pour les quasi-groupoïdes quantiques.) Zbl 0883.18004Bruguières, Alain 6 1997 Noncommutative Tannaka theory. (Théorie tannakienne non commutative.) Zbl 0808.18005Bruguières, Alain 17 1994 Quasi-quantum groupoids. (Quasi-groupoïdes quantiques.) Zbl 0836.16020Bruguières, Alain; Maltsiniotis, Georges 2 1994 The scheme of morphisms from an elliptic curve to a Grassmannian. Zbl 0664.14005Bruguières, A. 5 1987 Filtration de Harder-Narasimhan et stratification de Shatz. Zbl 0577.14012Bruguieres, Alain 3 1985 all cited Publications top 5 cited Publications all top 5 Cited by 231 Authors 15 Schweigert, Christoph 14 Rowell, Eric C. 12 Natale, Sonia 12 Runkel, Ingo 11 Bruguières, Alain 10 Shimizu, Kenichi 10 Zhang, Xiaohui 9 Fuchs, Jürgen 8 Böhm, Gabriella 8 Burciu, Sebastian M. 8 Plavnik, Julia Yael 7 Wang, Zhenghan 7 Wisbauer, Robert 6 Bruillard, Paul 6 El Kaoutit, Laiachi 5 Galindo Martínez, César Neyit 5 Lack, Stephen 5 Mesablishvili, Bachuki 5 Virelizier, Alexis 4 Ardizzoni, Alessandro 4 Dong, Jingcheng 4 Gainutdinov, Azat M. 4 Gelaki, Shlomo 4 Lacabanne, Abel 4 Ng, Siu-Hung 4 Schaumann, Gregor 4 Street, Ross H. 4 Vercruysse, Joost 4 Zhao, Xiaofan 3 Batakidis, Panagiotis 3 Bichon, Julien 3 Etingof, Pavel Il’ich 3 Hasegawa, Masahito 3 Menini, Claudia 3 Müger, Michael 3 Neshveyev, Sergey V. 3 Ostrik, Victor Valentinovich 3 Panaite, Florin 3 Penneys, David 3 Snyder, Noah 3 Staic, Mihai D. 3 Wang, Shengxiang 3 Wang, Wei 2 André, Yves 2 Balmer, Paul 2 Blanchet, Christian 2 Bulacu, Daniel 2 Caenepeel, Stefaan 2 Cui, Shawn Xingshan 2 Dai, Li 2 Došen, Kosta 2 Femić, Bojana 2 Garner, Richard 2 Gómez Torrecillas, José 2 Guo, Shuangjian 2 Gustafson, Paul P. 2 Jones, Corey 2 Kahn, Bruno 2 Lentner, Simon D. 2 Maltsiniotis, Georges 2 Morrison, Scott 2 Nikshych, Dmitri 2 Pacaud Lemay, Jean-Simon 2 Petrić, Zoran 2 Safronov, Pavel 2 Sawin, Stephen F. 2 Semikhatov, Alexei M. 2 Shibata, Taiki 2 Szlachányi, Kornél 2 Turaev, Vladimir Georgievich 2 van Oystaeyen, Freddy 2 Wang, Dingguo 2 Wang, Shuanhong 2 Wang, Yilong 2 Yekutieli, Amnon 1 Afzaly, Narjess 1 Agore, Ana-Loredana 1 Aguiar, Marcelo 1 Alonso Álvarez, José Nicanor 1 Andruskiewitsch, Nicolás 1 Anghel, Cristian Viorel 1 Angiono, Iván Ezequiel 1 Balan, Adriana 1 Barbieri Viale, Luca 1 Bârdeş, Aura 1 Bärenz, Manuel 1 Barmeier, Till 1 Barrett, John William 1 Barvels, Alexander 1 Batista, Eliezer 1 Baumann, Pierre 1 Beliakova, Anna 1 Berger, Clemens 1 Berger, Johannes 1 Berger, Roland 1 Bernaschini, Eugenia 1 Bertram, Aaron 1 Bonderson, Parsa 1 Bordemann, Martin 1 Brochier, Adrien ...and 131 more Authors all top 5 Cited in 80 Serials 27 Journal of Algebra 22 Advances in Mathematics 21 Journal of Pure and Applied Algebra 16 Communications in Mathematical Physics 8 Communications in Algebra 8 Applied Categorical Structures 7 Theory and Applications of Categories 7 Algebras and Representation Theory 7 Journal of Algebra and its Applications 5 Transactions of the American Mathematical Society 5 Algebraic & Geometric Topology 4 Nuclear Physics. B 4 International Journal of Mathematics 3 Journal of Mathematical Physics 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 MSCS. Mathematical Structures in Computer Science 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Geometry and Physics 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Journal of Knot Theory and its Ramifications 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 Transformation Groups 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Quantum Topology 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Advances in Applied Clifford Algebras 1 Filomat 1 The New York Journal of Mathematics 1 Geometry & Topology 1 Journal of Group Theory 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Acta Mathematica Sinica. English Series 1 The Quarterly Journal of Mathematics 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 1 Journal of Homotopy and Related Structures 1 Logical Methods in Computer Science 1 Algebra & Number Theory 1 Tbilisi Mathematical Journal 1 Journal of \(K\)-Theory 1 Science China. Mathematics 1 Journal of Combinatorial Algebra 1 Higher Structures 1 Electronic Research Archive all top 5 Cited in 25 Fields 198 Category theory; homological algebra (18-XX) 131 Associative rings and algebras (16-XX) 41 Nonassociative rings and algebras (17-XX) 41 Quantum theory (81-XX) 27 Manifolds and cell complexes (57-XX) 23 Group theory and generalizations (20-XX) 20 Algebraic geometry (14-XX) 13 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Commutative algebra (13-XX) 7 \(K\)-theory (19-XX) 7 Differential geometry (53-XX) 5 Field theory and polynomials (12-XX) 4 Mathematical logic and foundations (03-XX) 4 Topological groups, Lie groups (22-XX) 4 Algebraic topology (55-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year