Edit Profile (opens in new tab) Wenzl, Hans Co-Author Distance Author ID: wenzl.hans Published as: Wenzl, Hans; Wenzl, H.; Wenzl, H. G. more...less Homepage: http://www.math.ucsd.edu/~wenzl/ External Links: MGP Documents Indexed: 42 Publications since 1987, including 2 Additional arXiv Preprints 1 Further Contribution Co-Authors: 16 Co-Authors with 23 Joint Publications 534 Co-Co-Authors all top 5 Co-Authors 19 single-authored 6 Goodman, Frederick M. 2 Martirosyan, Lilit 2 Tuba, Imre 2 Turaev, Vladimir Georgievich 1 Belavin, Vladimir A. 1 Birman, Joan S. 1 de la Harpe, Pierre 1 Erlijman, Juliana 1 Freedman, Michael Hartley 1 Gepner, Doron R. 1 Handelman, David E. 1 Heidersdorf, Thorsten 1 Kazhdan, David 1 Masbaum, Gregor 1 Orellana, Rosa C. 1 Ram, Arun 1 Rowell, Eric C. all top 5 Serials 5 Pacific Journal of Mathematics 4 Journal of Algebra 3 Communications in Mathematical Physics 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 1 International Journal of Modern Physics A 1 Nuclear Physics. B 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Selecta Mathematica. New Series 1 Representation Theory 1 Annals of Mathematics. Second Series 1 Pure and Applied Mathematics Quarterly 1 Quantum Topology all top 5 Fields 23 Nonassociative rings and algebras (17-XX) 14 Group theory and generalizations (20-XX) 11 Category theory; homological algebra (18-XX) 11 Functional analysis (46-XX) 8 Manifolds and cell complexes (57-XX) 8 Quantum theory (81-XX) 6 Associative rings and algebras (16-XX) 4 Topological groups, Lie groups (22-XX) 2 Combinatorics (05-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 1,029 times in 715 Documents Cited by ▼ Year ▼ Braids, link polynomials and a new algebra. Zbl 0684.57004 Birman, Joan S.; Wenzl, Hans 156 1989 Hecke algebras of type \(A_ n\) and subfactors. Zbl 0663.46055 Wenzl, Hans 148 1988 On the structure of Brauer’s centralizer algebras. Zbl 0656.20040 Wenzl, Hans 138 1988 On sequences of projections. Zbl 0622.47019 Wenzl, Hans 83 1987 Quantum groups and subfactors of type B, C, and D. Zbl 0744.17021 Wenzl, Hans 79 1990 Representations of the braid group \(B_3\) and of \(\text{SL}(2,\mathbb{Z})\). Zbl 1056.20025 Tuba, Imre; Wenzl, Hans 47 2001 Littlewood-Richardson coefficients for Hecke algebras at roots of unity. Zbl 0714.20004 Goodman, Frederick M.; Wenzl, Hans 43 1990 Quantum invariants of 3-manifolds associated with classical simple Lie algebras. Zbl 0784.57007 Turaev, V.; Wenzl, H. 42 1993 Reconstructing monoidal categories. Zbl 0786.18002 Kazhdan, David; Wenzl, Hans 39 1993 \(C^{*}\) tensor categories from quantum groups. Zbl 0888.46043 Wenzl, Hans 37 1998 The Temperley-Lieb algebra at roots of unity. Zbl 0823.16004 Goodman, Frederick M.; Wenzl, Hans 32 1993 On braided tensor categories of type BCD. Zbl 1070.18003 Tuba, Imre; Wenzl, Hans 30 2005 Braids and invariants of 3-manifolds. Zbl 0804.57007 Wenzl, Hans 21 1993 Matrix units for centralizer algebras. Zbl 0761.16008 Ram, Arun; Wenzl, Hans 19 1992 Semisimple and modular categories from link invariants. Zbl 0888.18001 Turaev, Vladimir; Wenzl, Hans 17 1997 Representations of braid groups and the quantum Yang-Baxter equation. Zbl 0735.57004 Wenzl, Hans 15 1990 Integral modular categories and integrality of quantum invariants at roots of unity of prime order. Zbl 0919.57010 Masbaum, G.; Wenzl, H. 13 1998 \(\mathrm{SO}(N)_2\) braid group representations are Gaussian. Zbl 1472.20075 Rowell, Eric C.; Wenzl, Hans 12 2017 A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl). Zbl 1060.81054 Freedman, Michael H. 12 2003 Crystal bases of quantum affine algebras and affine Kazhdan-Lusztig polynomials. Zbl 1027.17011 Goodman, Frederick M.; Wenzl, Hans 6 1999 On centralizer algebras for spin representations. Zbl 1295.17014 Wenzl, Hans 6 2012 On tensor categories of Lie type \(E_{N}, N\neq 9\). Zbl 1038.17009 Wenzl, Hans 6 2003 A path algorithm for affine Kazhdan-Lusztig polynomials. Zbl 1039.17014 Goodman, Frederick M.; Wenzl, Hans 5 2001 Quotients of representation rings. Zbl 1246.22016 Wenzl, Hans 5 2011 \(q\)-centralizer algebras for spin groups. Zbl 1085.17012 Orellana, R. C.; Wenzl, H. G. 5 2002 A \(q\)-Brauer algebra. Zbl 1288.20007 Wenzl, Hans 5 2012 Fusion symmetric spaces and subfactors. Zbl 1264.46043 Wenzl, Hans 4 2012 Subfactors from braided \(C^*\) tensor categories. Zbl 1152.46051 Erlijman, Juliana; Wenzl, Hans 3 2007 On \(\mathrm{SO}(N)\) spin vertex models. Zbl 1473.81104 Belavin, Vladimir; Gepner, Doron; Wenzl, Hans 3 2020 Opérations sur les rayons spectraux de matrices symétriques entières positives. (Operations on spectral radii of positive integral symmetric matrices). Zbl 0625.15012 de la Harpe, Pierre; Wenzl, Hans 2 1987 Iwahori-Hecke algebras of type \(A\) at roots of unity. Zbl 1027.17012 Goodman, Frederick M.; Wenzl, Hans 2 1999 On representations of \(U'_q\mathfrak{so}_n\). Zbl 1446.17028 Wenzl, Hans 2 2020 Closedness of index values for subfactors. Zbl 0638.46042 Handelman, David; Wenzl, Hans 1 1987 Unitary braid representations. Zbl 0925.57004 Wenzl, Hans 1 1992 Generalized negligible morphisms and their tensor ideals. Zbl 1478.18016 Heidersdorf, Thorsten; Wenzl, Hans 1 2022 Affine centralizer algebras for \(G_2\). Zbl 1477.17068 Martirosyan, Lilit; Wenzl, Hans 1 2019 Generalized negligible morphisms and their tensor ideals. Zbl 1478.18016 Heidersdorf, Thorsten; Wenzl, Hans 1 2022 On \(\mathrm{SO}(N)\) spin vertex models. Zbl 1473.81104 Belavin, Vladimir; Gepner, Doron; Wenzl, Hans 3 2020 On representations of \(U'_q\mathfrak{so}_n\). Zbl 1446.17028 Wenzl, Hans 2 2020 Affine centralizer algebras for \(G_2\). Zbl 1477.17068 Martirosyan, Lilit; Wenzl, Hans 1 2019 \(\mathrm{SO}(N)_2\) braid group representations are Gaussian. Zbl 1472.20075 Rowell, Eric C.; Wenzl, Hans 12 2017 On centralizer algebras for spin representations. Zbl 1295.17014 Wenzl, Hans 6 2012 A \(q\)-Brauer algebra. Zbl 1288.20007 Wenzl, Hans 5 2012 Fusion symmetric spaces and subfactors. Zbl 1264.46043 Wenzl, Hans 4 2012 Quotients of representation rings. Zbl 1246.22016 Wenzl, Hans 5 2011 Subfactors from braided \(C^*\) tensor categories. Zbl 1152.46051 Erlijman, Juliana; Wenzl, Hans 3 2007 On braided tensor categories of type BCD. Zbl 1070.18003 Tuba, Imre; Wenzl, Hans 30 2005 A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl). Zbl 1060.81054 Freedman, Michael H. 12 2003 On tensor categories of Lie type \(E_{N}, N\neq 9\). Zbl 1038.17009 Wenzl, Hans 6 2003 \(q\)-centralizer algebras for spin groups. Zbl 1085.17012 Orellana, R. C.; Wenzl, H. G. 5 2002 Representations of the braid group \(B_3\) and of \(\text{SL}(2,\mathbb{Z})\). Zbl 1056.20025 Tuba, Imre; Wenzl, Hans 47 2001 A path algorithm for affine Kazhdan-Lusztig polynomials. Zbl 1039.17014 Goodman, Frederick M.; Wenzl, Hans 5 2001 Crystal bases of quantum affine algebras and affine Kazhdan-Lusztig polynomials. Zbl 1027.17011 Goodman, Frederick M.; Wenzl, Hans 6 1999 Iwahori-Hecke algebras of type \(A\) at roots of unity. Zbl 1027.17012 Goodman, Frederick M.; Wenzl, Hans 2 1999 \(C^{*}\) tensor categories from quantum groups. Zbl 0888.46043 Wenzl, Hans 37 1998 Integral modular categories and integrality of quantum invariants at roots of unity of prime order. Zbl 0919.57010 Masbaum, G.; Wenzl, H. 13 1998 Semisimple and modular categories from link invariants. Zbl 0888.18001 Turaev, Vladimir; Wenzl, Hans 17 1997 Quantum invariants of 3-manifolds associated with classical simple Lie algebras. Zbl 0784.57007 Turaev, V.; Wenzl, H. 42 1993 Reconstructing monoidal categories. Zbl 0786.18002 Kazhdan, David; Wenzl, Hans 39 1993 The Temperley-Lieb algebra at roots of unity. Zbl 0823.16004 Goodman, Frederick M.; Wenzl, Hans 32 1993 Braids and invariants of 3-manifolds. Zbl 0804.57007 Wenzl, Hans 21 1993 Matrix units for centralizer algebras. Zbl 0761.16008 Ram, Arun; Wenzl, Hans 19 1992 Unitary braid representations. Zbl 0925.57004 Wenzl, Hans 1 1992 Quantum groups and subfactors of type B, C, and D. Zbl 0744.17021 Wenzl, Hans 79 1990 Littlewood-Richardson coefficients for Hecke algebras at roots of unity. Zbl 0714.20004 Goodman, Frederick M.; Wenzl, Hans 43 1990 Representations of braid groups and the quantum Yang-Baxter equation. Zbl 0735.57004 Wenzl, Hans 15 1990 Braids, link polynomials and a new algebra. Zbl 0684.57004 Birman, Joan S.; Wenzl, Hans 156 1989 Hecke algebras of type \(A_ n\) and subfactors. Zbl 0663.46055 Wenzl, Hans 148 1988 On the structure of Brauer’s centralizer algebras. Zbl 0656.20040 Wenzl, Hans 138 1988 On sequences of projections. Zbl 0622.47019 Wenzl, Hans 83 1987 Opérations sur les rayons spectraux de matrices symétriques entières positives. (Operations on spectral radii of positive integral symmetric matrices). Zbl 0625.15012 de la Harpe, Pierre; Wenzl, Hans 2 1987 Closedness of index values for subfactors. Zbl 0638.46042 Handelman, David; Wenzl, Hans 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 703 Authors 25 Rowell, Eric C. 17 Rui, Hebing 17 Wenzl, Hans 15 Jones, Vaughan Frederick Randal 10 Goodman, Frederick M. 10 Liu, Zhengwei 10 Marin, Ivan 10 Martin, Paul Purdon 10 Morrison, Scott 9 Wales, David B. 9 Wang, Zhenghan 8 Evans, David E. 8 Franc, Cameron 8 Gepner, Doron R. 8 Lehrer, Gustav Isaac 8 Si, Mei 8 Zhang, Ruibin 7 East, James 7 Hu, Jun 7 Penneys, David 7 Popa, Sorin Teodor 6 Gannon, Terry 6 Plavnik, Julia Yael 6 Ram, Arun 6 Snyder, Noah 6 Stroppel, Catharina H. 6 Tubbenhauer, Daniel 6 Xi, Changchang 6 Xu, Feng 5 Andersen, Jørgen Ellegaard 5 Birman, Joan S. 5 Bruillard, Paul 5 Cohen, Arjeh Marcel 5 Collins, Benoît 5 Cox, Anton 5 Došen, Kosta 5 Doty, Stephen R. 5 Gustafson, Paul P. 5 Hajij, Mustafa 5 Halverson, Thomas 5 Isaev, Alekseĭ Petrovich 5 Izumi, Masaki 5 Kawahigashi, Yasuyuki 5 Le, Thang Tu Quoc 5 Mason, Geoffrey 5 Patureau-Mirand, Bertrand 5 Peters, Emily 5 Pinzari, Claudia 5 Xue, Kang 5 Zhang, Qing 4 Andersen, Henning Haahr 4 Banica, Teodor 4 Belavin, Vladimir A. 4 Benkart, Georgia McClure 4 Bisch, Dietmar H. 4 Brannan, Michael 4 Bytsko, Andrei G. 4 Crampé, Nicolas 4 De Visscher, Maud 4 Edie-Michell, Cain 4 Funar, Louis 4 Galindo Martínez, César Neyit 4 Geer, Nathan 4 Gurevich, Dmitrii 4 Hogancamp, Matthew 4 Kauffman, Louis Hirsch 4 Morin-Duchesne, Alexi 4 Ng, Siu-Hung 4 Petrić, Zoran 4 Pugh, Mathew 4 Pyatov, Pavel 4 Saint-Aubin, Yvan 4 Saponov, Pavel A. 4 Song, Linliang 4 van Diejen, Jan Felipe 4 Vinet, Luc 4 Wedrich, Paul 4 Westbury, Bruce W. 4 Yamashita, Makoto 3 Belletête, Jonathan 3 Bigelow, Stephen J. 3 Blanchet, Christian 3 Cummins, Chris J. 3 Durhuus, Bergfinnur 3 Elhamdadi, Mohamed 3 Elias, Benjamin 3 Enyang, John 3 Fendley, Paul 3 Gainutdinov, Azat M. 3 Gavarini, Fabio 3 Gijsbers, Dié A. H. 3 Hanlon, Phil 3 Hayashi, Takahiro 3 Hepworth, Richard A. 3 Hong, Seung-Moon 3 Juyumaya, Jesús 3 King, Ronald C. 3 König, Steffen 3 Kosuda, Masashi 3 Krushkal, Vyacheslav S. ...and 603 more Authors all top 5 Cited in 145 Serials 80 Journal of Algebra 55 Communications in Mathematical Physics 33 Advances in Mathematics 31 Journal of Knot Theory and its Ramifications 30 Journal of Pure and Applied Algebra 27 Transactions of the American Mathematical Society 20 Journal of Mathematical Physics 14 Nuclear Physics. B 14 Journal of Functional Analysis 14 Mathematische Zeitschrift 13 Algebras and Representation Theory 12 Communications in Algebra 12 International Journal of Mathematics 12 Algebraic & Geometric Topology 11 Proceedings of the American Mathematical Society 10 Journal of Geometry and Physics 10 Duke Mathematical Journal 10 Inventiones Mathematicae 10 Journal of Algebraic Combinatorics 9 Journal of Physics A: Mathematical and Theoretical 9 Quantum Topology 8 Letters in Mathematical Physics 8 Journal of Combinatorial Theory. Series A 8 Topology and its Applications 8 Selecta Mathematica. New Series 8 Journal of High Energy Physics 7 Bulletin of the American Mathematical Society. New Series 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Reviews in Mathematical Physics 6 Transformation Groups 6 Journal of Algebra and its Applications 5 Canadian Journal of Mathematics 5 Journal of the American Mathematical Society 5 Representation Theory 5 Journal of Statistical Mechanics: Theory and Experiment 4 Annales de l’Institut Fourier 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Annalen 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Quantum Information Processing 4 Algebraic Combinatorics 3 Israel Journal of Mathematics 3 Journal of Statistical Physics 3 Acta Mathematica Vietnamica 3 Compositio Mathematica 3 Memoirs of the American Mathematical Society 3 Pacific Journal of Mathematics 3 Proceedings of the Japan Academy. Series A 3 The Ramanujan Journal 3 Annales Henri Poincaré 2 International Journal of Modern Physics A 2 International Journal of Theoretical Physics 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Physics Letters. B 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Acta Mathematica 2 Fundamenta Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Tôhoku Mathematical Journal. Second Series 2 International Journal of Algebra and Computation 2 L’Enseignement Mathématique. 2e Série 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Linear Algebra and its Applications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Applied Categorical Structures 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Electronic Research Announcements of the American Mathematical Society 2 New Journal of Physics 2 International Journal of Number Theory 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Sigma 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 2 Journal of Combinatorial Algebra 1 Discrete Mathematics 1 Journal of Mathematical Biology 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 The Mathematical Intelligencer 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Kyungpook Mathematical Journal 1 Manuscripta Mathematica 1 Mathematika 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series ...and 45 more Serials all top 5 Cited in 43 Fields 287 Group theory and generalizations (20-XX) 202 Nonassociative rings and algebras (17-XX) 182 Associative rings and algebras (16-XX) 176 Manifolds and cell complexes (57-XX) 174 Quantum theory (81-XX) 127 Functional analysis (46-XX) 118 Category theory; homological algebra (18-XX) 117 Combinatorics (05-XX) 39 Statistical mechanics, structure of matter (82-XX) 28 Algebraic geometry (14-XX) 26 Number theory (11-XX) 24 Topological groups, Lie groups (22-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Special functions (33-XX) 10 Differential geometry (53-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 5 \(K\)-theory (19-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 5 Computer science (68-XX) 5 Relativity and gravitational theory (83-XX) 4 Mathematical logic and foundations (03-XX) 4 Commutative algebra (13-XX) 4 Partial differential equations (35-XX) 4 Abstract harmonic analysis (43-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 General algebraic systems (08-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year