Edit Profile Zhang, Ruibin Compute Distance To: Compute Author ID: zhang.ruibin Published as: Zhang, R.; Zhang, R. B.; Zhang, Rui Bin; Zhang, Ruibin; Zhang, Ruo Bing; Zhang, Ruobing Homepage: http://www.maths.usyd.edu.au/u/rzhang/ External Links: MGP · Wikidata Documents Indexed: 126 Publications since 1988 all top 5 Co-Authors 27 single-authored 15 Lehrer, Gustav Isaac 14 Gould, Mark D. 9 Bracken, Anthony J. 8 Su, Yucai 6 Jarvis, Peter D. 6 Zhang, Xiao 5 Cheng, Shun-Jen 5 Scheunert, Manfred 4 Links, Jon Robert 4 Zhang, Hechun 3 Carey, Alan L. 3 Chaichian, Masud 3 Lam, Ngau 3 Tureanu, Anca 3 Wu, Yuezhu 2 Coulembier, Kevin 2 Ke, Wen-Fong 2 Lai, King Fai 2 Molev, Alexander I. 2 Wang, Ding 2 Wang, Weiqiang 2 Warner, Roland C. 2 Yung, C. M. 1 Andersen, Henning Haahr 1 Billig, Yuly 1 Chebotar, Mikhail A. 1 Delbourgo, Robert 1 Deligne, Pierre René 1 Gover, Ashwin Rod 1 Iohara, Kenji 1 Kulish, Petr Petrovich 1 Lee, Heung-Chan 1 Lee, Hou-Cheng 1 Lee, Hsueh-Chen 1 Lee, Pjek-Hwee 1 Liu, Xin 1 Luan, Pi-Gang 1 McAnally, David S. 1 McCarthy, James 1 Meng, Guowu 1 Nakano, Daniel K. 1 Pang, Dong Qing 1 Paolucci, Anna Maria 1 Sun, Jing Hua 1 Tolstoĭ, Valeriĭ Nikolaevich 1 Van der Jeugt, Joris 1 Wang, Bailing 1 Wang, Qing Yue 1 Wen, Guo Qing 1 Xia, Chunguang 1 Zhang, Guanglian 1 Zhang, Shukui 1 Zou, Yumei all top 5 Serials 25 Journal of Mathematical Physics 16 Journal of Physics A: Mathematical and General 11 Letters in Mathematical Physics 9 Journal of Algebra 8 Communications in Mathematical Physics 6 Advances in Mathematics 5 Reviews in Mathematical Physics 3 Modern Physics Letters A 2 Journal of Pure and Applied Algebra 2 Transactions of the American Mathematical Society 2 Mathematical Research Letters 2 Journal of the European Mathematical Society (JEMS) 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Physics Letters. B 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Physica Sinica 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 L’Enseignement Mathématique. 2e Série 1 Journal of Lie Theory 1 Transformation Groups 1 Advances in Theoretical and Mathematical Physics 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Journal of Shandong University. Natural Science 1 The European Physical Journal C. Particles and Fields 1 Journal of Physics A: Mathematical and Theoretical 1 European Journal of Mathematics all top 5 Fields 101 Nonassociative rings and algebras (17-XX) 60 Quantum theory (81-XX) 18 Group theory and generalizations (20-XX) 16 Associative rings and algebras (16-XX) 11 Manifolds and cell complexes (57-XX) 10 Global analysis, analysis on manifolds (58-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 4 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Category theory; homological algebra (18-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 102 Publications have been cited 875 times in 483 Documents Cited by ▼ Year ▼ Cohomology of Lie superalgebras and their generalizations. Zbl 0928.17023Scheunert, M.; Zhang, R. B. 58 1998 Finite dimensional irreducible representations of the quantum supergroup \(U_ q(gl(m/n))\). Zbl 0784.17029Zhang, R. B. 43 1993 Quantum group invariants and link polynomials. Zbl 0735.17018Zhang, R. B.; Gould, M. D.; Bracken, A. J. 32 1991 Quantum supergroups and solutions of the Yang-Baxter equation. Zbl 1020.17503Bracken, A. J.; Gould, M. D.; Zhang, R. B. 25 1990 The Brauer category and invariant theory. Zbl 1328.14079Lehrer, G. I.; Zhang, R. B. 22 2015 Super duality and Kazhdan-Lusztig polynomials. Zbl 1234.17004Cheng, Shun-Jen; Wang, Weiqiang; Zhang, R. B. 21 2008 Structure and representations of the quantum general linear supergroup. Zbl 0948.17004Zhang, R. B. 21 1998 A q-analogue of Bargmann space and its scalar product. Zbl 0734.46045Bracken, A. J.; McAnally, D. S.; Zhang, R. B.; Gould, M. D. 21 1991 Generalized Gel’fand invariants and characteristic identities for quantum groups. Zbl 0747.17020Gould, M. D.; Zhang, R. B.; Bracken, A. J. 21 1991 Classification of all star irreps of gl(m/n). Zbl 0728.17003Gould, M. D.; Zhang, R. B. 21 1990 The second fundamental theorem of invariant theory for the orthogonal group. Zbl 1263.20043Lehrer, Gustav; Zhang, Ruibin 18 2012 Character and dimension formulae for general linear superalgebra. Zbl 1166.17002Su, Yucai; Zhang, R. B. 18 2007 Strongly multiplicity free modules for Lie algebras and quantum groups. Zbl 1169.17003Lehrer, G. I.; Zhang, R. B. 18 2006 Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra. Zbl 1041.17006Cheng, Shun-Jen; Lam, Ngau; Zhang, R. B. 17 2004 Universal \(L\) operator and invariants of the quantum supergroup \(U_{q}(gl(m/n))\). Zbl 0769.17011Zhang, R. B. 17 1992 Universal \(R\) matrices and invariants of quantum supergroups. Zbl 0759.17011Zhang, R. B.; Gould, M. D. 17 1991 Analogue of Kostant’s \(\mathfrak{u}\)-cohomology formula for the general linear superalgebra. Zbl 1096.17005Cheng, Shun-Jen; Zhang, R. B. 16 2004 Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras. Zbl 1056.17004Cheng, Shun-Jen; Zhang, R. B. 16 2004 Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus. Zbl 1144.17019Billig, Yuly; Molev, Alexander; Zhang, Ruibin 15 2008 Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\). Zbl 0932.17009Van der Jeugt, J.; Zhang, R. B. 15 1999 A quantum analogue of the first fundamental theorem of classical invariant theory. Zbl 1262.17008Lehrer, G. I.; Zhang, Hechun; Zhang, R. B. 14 2011 On maps preserving zero Jordan products. Zbl 1109.16030Chebotar, Mikhail A.; Ke, Wen-Fong; Lee, Pjek-Hwee; Zhang, Ruibin 14 2006 Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\). Zbl 0763.17019Zhang, R. B. 14 1992 Solutions of the graded classical Yang-Baxter equation and integrable models. Zbl 0727.17007Zhang, R. B.; Gould, M. D.; Bracken, A. J. 14 1991 The first fundamental theorem of invariant theory for the orthosymplectic supergroup. Zbl 1360.22027Lehrer, G. I.; Zhang, R. B. 13 2017 Quantum double construction for graded Hopf algebras. Zbl 0801.16037Gould, M. D.; Zhang, R. B.; Bracken, A. J. 13 1993 Braid group representations arising from quantum supergroups with arbitrary \(q\) and link polynomials. Zbl 0781.20026Zhang, R. B. 12 1992 The \(gl(M| N)\) super Yangian and its finite-dimensional representations. Zbl 0861.17020Zhang, R. B. 11 1996 Cohomology of Lie superalgebras \(\mathfrak{sl}_{m|n}\) and \(\mathfrak{osp}_{2|2n}\). Zbl 1118.17005Su, Yucai; Zhang, R. B. 10 2007 Howe duality and the quantum general linear group. Zbl 1068.17005Zhang, R. B. 10 2003 The general linear supergroup and its Hopf superalgebra of regular functions. Zbl 1047.17016Scheunert, M.; Zhang, R. B. 10 2002 Quantum supergroups, link polynomials and representation of the braid generator. Zbl 0786.17012Links, J. R.; Gould, M. D.; Zhang, R. B. 10 1993 Lie bi-superalgebras and the graded classical Yang-Baxter equation. Zbl 0760.17010Gould, M. D.; Zhang, R. B.; Bracken, A. J. 10 1991 Classification of all star and grade star irreps of gl(n\(| 1)\). Zbl 0717.17024Gould, M. D.; Zhang, R. B. 10 1990 Orthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems. Zbl 1154.81012Zhang, R. B. 9 2008 Representations of super Yangian. Zbl 0855.17012Zhang, R. B. 9 1995 Graded representations of the Temperley-Lieb algebra, quantum supergroups, and the Jones polynomial. Zbl 0751.17017Zhang, R. B. 9 1991 Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\). Zbl 1315.17005Su, Yucai; Zhang, R. B. 8 2012 The first fundamental theorem of invariant theory for the orthosymplectic super group. Zbl 1391.14103Deligne, P.; Lehrer, G. I.; Zhang, R. B. 7 2018 Invariants of the orthosymplectic Lie superalgebra and super Pfaffians. Zbl 1381.15020Lehrer, Gustav I.; Zhang, Rui Bin 7 2017 Generalised Jantzen filtration of Lie superalgebras. I. Zbl 1295.17008Su, Yucai; Zhang, R. B. 7 2012 On irreducibility of tensor products of evaluation modules for the quantum affine algebra. Zbl 1050.17012Molev, A. I.; Tolstoy, V. N.; Zhang, R. B. 7 2004 Invariant integration on classical and quantum Lie supergroups. Zbl 1032.17054Scheunert, M.; Zhang, R. B. 7 2001 Geometry of quantum homogeneous vector bundles and representation theory of quantum groups. I. Zbl 0990.17013Gover, A. R.; Zhang, R. B. 7 1999 Quantum supergroups and topological invariants of three-manifolds. Zbl 0845.57010Zhang, R. B. 7 1995 A Temperley-Lieb analogue for the BMW algebra. Zbl 1260.16030Lehrer, G. I.; Zhang, R. B. 6 2010 Unitary highest weight representations of quantum general linear superalgebra. Zbl 1168.17011Wu, Yuezhu; Zhang, R. B. 6 2009 On endomorphisms of quantum tensor space. Zbl 1213.17015Lehrer, Gustav Isaac; Zhang, Ruibin 6 2008 Riemannian geometry of noncommutative surfaces. Zbl 1152.81368Chaichian, M.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao 6 2008 Dual canonical bases for the quantum general linear supergroup. Zbl 1114.17006Zhang, Hechun; Zhang, R. B. 6 2006 Quasi-finite modules for Lie superalgebras of infinite rank. Zbl 1105.17013Lam, Ngau; Zhang, R. B. 6 2006 Symmetrizable quantum affine superalgebras and their representations. Zbl 0870.17014Zhang, R. B. 6 1997 Serre presentations of Lie superalgebras. Zbl 1344.17009Zhang, Ruibin 5 2014 Generalized MICZ-Kepler problems and unitary highest weight modules. Zbl 1316.81093Meng, Guowu; Zhang, Ruibin 5 2011 Quantum superalgebra representations on cohomology groups of non-commutative bundles. Zbl 1089.17007Zhang, R. B. 5 2004 The second cohomology of \(\text{sl}(m|1)\) with coefficients in its enveloping algebra is trivial. Zbl 0944.17016Scheunert, M.; Zhang, R. B. 5 1999 The quantum super-Yangian and Casimir operators of \(U_ q{\mathfrak {gl}}(M| N)\). Zbl 0835.17015Zhang, R. B. 5 1995 Finite-dimensional representations of \(U_ q(C(n+1))\) at arbitrary \(q\). Zbl 0821.17019Zhang, R. B. 5 1993 Cellularity of certain quantum endomorphism algebras. Zbl 1352.17015Andersen, Henning H.; Lehrer, Gustav I.; Zhang, Ruibin 4 2015 Character and dimension formulae for queer Lie superalgebra. Zbl 1339.17009Su, Yucai; Zhang, R. B. 4 2015 Detecting cohomology for Lie superalgebras. Zbl 1302.17032Lehrer, Gustav I.; Nakano, Daniel K.; Zhang, Ruibin 4 2011 Noncommutative fields and actions of twisted Poincaré algebra. Zbl 1152.81367Chaichian, M.; Kulish, P. P.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao 4 2008 Quantum enveloping superalgebras and link invariants. Zbl 1059.17012Zhang, R. B. 4 2002 Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J. 4 1997 Three-manifold invariants arising from \(U_q(\text{osp}(1|2))\). Zbl 1020.57503Zhang, R. B. 4 1994 Eigenvalues of Casimir invariants of \(U_ q(\text{gl}(m/n))\). Zbl 0787.17013Links, J. R.; Zhang, R. B. 4 1993 Unitary representations of basic classical Lie superalgebras. Zbl 0715.17027Gould, M. D.; Zhang, R. B. 4 1990 Affine superalgebras, unitary representations and the Sugawara construction. Zbl 0689.17023Jarvis, P. D.; Zhang, R. B. 4 1989 Unitary highest weight modules over Block type Lie algebras \(\mathcal B(q)\). Zbl 1308.17012Xia, Chunguang; Zhang, Ruibin 3 2013 A Fock space approach to representation theory of \(\mathrm{osp}(2|2n)\). Zbl 1139.17003Cheng, Shun-Jen; Wang, Weiqiang; Zhang, R. B. 3 2007 Dual canonical bases for the quantum special linear group and invariant subalgebras. Zbl 1146.17309Zhang, Hechun; Zhang, R. B. 3 2005 Integration on Lie supergroups: a Hopf superalgebra approach. Zbl 1087.17006Scheunert, M.; Zhang, R. B. 3 2005 Spherical functions on homogeneous superspaces. Zbl 1067.81074Zhang, R. B.; Zou, Y. M. 3 2005 Quantum group actions on the Cuntz algebra. Zbl 0974.17013Carey, A. L.; Paolucci, A.; Zhang, R. B. 3 2000 Multiparameter link invariants from quantum supergroups. Zbl 0811.17018Links, J. R.; Zhang, R. B. 3 1994 Classification of star and grade-star representations of \(C(n+1)\). Zbl 0717.17023Zhang, R. B.; Gould, M. D. 3 1990 Temperley-Lieb algebras at roots of unity, a fusion category and the Jones quotient. Zbl 1448.17020Iohara, K.; Lehrer, G. I.; Zhang, R. B. 2 2019 Borelic pairs for stratified algebras. Zbl 07021538Coulembier, Kevin; Zhang, Ruibin 2 2019 Quantum correspondences of affine Lie superalgebras. Zbl 1401.17009Xu, Ying; Zhang, R. B. 2 2018 Generalised Jantzen filtration of exceptional Lie superalgebras. Zbl 1403.17010Su, Yucai; Zhang, R. B. 2 2016 Projective module description of embedded noncommutative spaces. Zbl 1201.53090Zhang, R. B.; Zhang, Xiao 2 2010 Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves. Zbl 1189.81220Wang, Ding; Zhang, R. B.; Zhang, Xiao 2 2009 Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes. Zbl 1163.83351Wang, Ding; Zhang, R. B.; Zhang, Xiao 2 2009 Geometry and representations of the quantum supergroup \(\text{OSp}_q(1|2n)\). Zbl 1032.17502Lee, H. C.; Zhang, R. B. 2 1999 Bott-Borel-Weil construction for quantum supergroup \(\text{U}_ q(\text{gl}(m| n))\). Zbl 0886.17011Zhang, R. B. 2 1997 A two-parameter quantization of \(sl(2/1)\) and its finite-dimensional representations. Zbl 0822.17012Zhang, R. B. 2 1994 A two-parameter quantization of osp(4/2). Zbl 0765.17021Zhang, R. B. 2 1992 Invariants of the quantum supergroup \(U_ q(gl(m/1))\). Zbl 0769.17012Zhang, R. B. 2 1991 A note on the collapsing geometry of hyperkähler four manifolds. Zbl 1427.53057Honda, Shouhei; Sun, Song; Zhang, Ruobing 1 2019 Invariants of the special orthogonal group and an enhanced Brauer category. Zbl 1385.16040Lehrer, Gustav I.; Zhang, Ruibin 1 2017 Integrable representations of affine \(A(m,n)\) and \(C(m)\) superalgebras. Zbl 1334.17008Wu, Yuezhu; Zhang, R. B. 1 2016 \(\mathfrak u\)-cohomology formula for unitarizable modules over general linear superalgebras. Zbl 1261.17020Lam, Ngau; Zhang, R. B. 1 2011 Multiplicity free actions of quantum groups and generalized Howe duality. Zbl 1068.17004Lai, K. F.; Zhang, R. B. 1 2003 Structure and representations on the quantum supergroup \(\text{OSP}_ q(2| 2n)\). Zbl 1054.81514Zhang, R. B. 1 2000 Colored solutions of the Yang-Baxter equation from representations of \(U_q\operatorname{gl}(2)\). Zbl 1005.17013Luan, Pi-Gang; Lee, H. C.; Zhang, R. B. 1 2000 Vector coherent state realization of representations of the affine Lie algebra \(\widehat{sl}(2)\). Zbl 0943.81013Zhang, R. B. 1 1997 Minimal uncertainty states for quantum groups. Zbl 0924.17009Delbourgo, R.; Zhang, R. B. 1 1997 Lickorish invariant and quantum \(\text{osp}(1|2)\). Zbl 1020.57504Zhang, R. B.; Lee, H. C. 1 1996 Induced module construction for highest-weight representations of \(U_ q({\mathfrak {gl}}(n))\) at roots of unity. Zbl 0840.17012Links, J. R.; Zhang, R. B. 1 1994 BRST cohomology for \(U_ q(sl(2))\) representations. Zbl 0766.17025Jarvis, P. D.; Warner, Roland C.; Yung, C. M.; Zhang, R. B. 1 1992 Temperley-Lieb algebras at roots of unity, a fusion category and the Jones quotient. Zbl 1448.17020Iohara, K.; Lehrer, G. I.; Zhang, R. B. 2 2019 Borelic pairs for stratified algebras. Zbl 07021538Coulembier, Kevin; Zhang, Ruibin 2 2019 A note on the collapsing geometry of hyperkähler four manifolds. Zbl 1427.53057Honda, Shouhei; Sun, Song; Zhang, Ruobing 1 2019 The first fundamental theorem of invariant theory for the orthosymplectic super group. Zbl 1391.14103Deligne, P.; Lehrer, G. I.; Zhang, R. B. 7 2018 Quantum correspondences of affine Lie superalgebras. Zbl 1401.17009Xu, Ying; Zhang, R. B. 2 2018 The first fundamental theorem of invariant theory for the orthosymplectic supergroup. Zbl 1360.22027Lehrer, G. I.; Zhang, R. B. 13 2017 Invariants of the orthosymplectic Lie superalgebra and super Pfaffians. Zbl 1381.15020Lehrer, Gustav I.; Zhang, Rui Bin 7 2017 Invariants of the special orthogonal group and an enhanced Brauer category. Zbl 1385.16040Lehrer, Gustav I.; Zhang, Ruibin 1 2017 Generalised Jantzen filtration of exceptional Lie superalgebras. Zbl 1403.17010Su, Yucai; Zhang, R. B. 2 2016 Integrable representations of affine \(A(m,n)\) and \(C(m)\) superalgebras. Zbl 1334.17008Wu, Yuezhu; Zhang, R. B. 1 2016 The Brauer category and invariant theory. Zbl 1328.14079Lehrer, G. I.; Zhang, R. B. 22 2015 Cellularity of certain quantum endomorphism algebras. Zbl 1352.17015Andersen, Henning H.; Lehrer, Gustav I.; Zhang, Ruibin 4 2015 Character and dimension formulae for queer Lie superalgebra. Zbl 1339.17009Su, Yucai; Zhang, R. B. 4 2015 Serre presentations of Lie superalgebras. Zbl 1344.17009Zhang, Ruibin 5 2014 Unitary highest weight modules over Block type Lie algebras \(\mathcal B(q)\). Zbl 1308.17012Xia, Chunguang; Zhang, Ruibin 3 2013 The second fundamental theorem of invariant theory for the orthogonal group. Zbl 1263.20043Lehrer, Gustav; Zhang, Ruibin 18 2012 Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\). Zbl 1315.17005Su, Yucai; Zhang, R. B. 8 2012 Generalised Jantzen filtration of Lie superalgebras. I. Zbl 1295.17008Su, Yucai; Zhang, R. B. 7 2012 A quantum analogue of the first fundamental theorem of classical invariant theory. Zbl 1262.17008Lehrer, G. I.; Zhang, Hechun; Zhang, R. B. 14 2011 Generalized MICZ-Kepler problems and unitary highest weight modules. Zbl 1316.81093Meng, Guowu; Zhang, Ruibin 5 2011 Detecting cohomology for Lie superalgebras. Zbl 1302.17032Lehrer, Gustav I.; Nakano, Daniel K.; Zhang, Ruibin 4 2011 \(\mathfrak u\)-cohomology formula for unitarizable modules over general linear superalgebras. Zbl 1261.17020Lam, Ngau; Zhang, R. B. 1 2011 A Temperley-Lieb analogue for the BMW algebra. Zbl 1260.16030Lehrer, G. I.; Zhang, R. B. 6 2010 Projective module description of embedded noncommutative spaces. Zbl 1201.53090Zhang, R. B.; Zhang, Xiao 2 2010 Unitary highest weight representations of quantum general linear superalgebra. Zbl 1168.17011Wu, Yuezhu; Zhang, R. B. 6 2009 Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves. Zbl 1189.81220Wang, Ding; Zhang, R. B.; Zhang, Xiao 2 2009 Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes. Zbl 1163.83351Wang, Ding; Zhang, R. B.; Zhang, Xiao 2 2009 Super duality and Kazhdan-Lusztig polynomials. Zbl 1234.17004Cheng, Shun-Jen; Wang, Weiqiang; Zhang, R. B. 21 2008 Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus. Zbl 1144.17019Billig, Yuly; Molev, Alexander; Zhang, Ruibin 15 2008 Orthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems. Zbl 1154.81012Zhang, R. B. 9 2008 On endomorphisms of quantum tensor space. Zbl 1213.17015Lehrer, Gustav Isaac; Zhang, Ruibin 6 2008 Riemannian geometry of noncommutative surfaces. Zbl 1152.81368Chaichian, M.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao 6 2008 Noncommutative fields and actions of twisted Poincaré algebra. Zbl 1152.81367Chaichian, M.; Kulish, P. P.; Tureanu, A.; Zhang, R. B.; Zhang, Xiao 4 2008 Character and dimension formulae for general linear superalgebra. Zbl 1166.17002Su, Yucai; Zhang, R. B. 18 2007 Cohomology of Lie superalgebras \(\mathfrak{sl}_{m|n}\) and \(\mathfrak{osp}_{2|2n}\). Zbl 1118.17005Su, Yucai; Zhang, R. B. 10 2007 A Fock space approach to representation theory of \(\mathrm{osp}(2|2n)\). Zbl 1139.17003Cheng, Shun-Jen; Wang, Weiqiang; Zhang, R. B. 3 2007 Strongly multiplicity free modules for Lie algebras and quantum groups. Zbl 1169.17003Lehrer, G. I.; Zhang, R. B. 18 2006 On maps preserving zero Jordan products. Zbl 1109.16030Chebotar, Mikhail A.; Ke, Wen-Fong; Lee, Pjek-Hwee; Zhang, Ruibin 14 2006 Dual canonical bases for the quantum general linear supergroup. Zbl 1114.17006Zhang, Hechun; Zhang, R. B. 6 2006 Quasi-finite modules for Lie superalgebras of infinite rank. Zbl 1105.17013Lam, Ngau; Zhang, R. B. 6 2006 Dual canonical bases for the quantum special linear group and invariant subalgebras. Zbl 1146.17309Zhang, Hechun; Zhang, R. B. 3 2005 Integration on Lie supergroups: a Hopf superalgebra approach. Zbl 1087.17006Scheunert, M.; Zhang, R. B. 3 2005 Spherical functions on homogeneous superspaces. Zbl 1067.81074Zhang, R. B.; Zou, Y. M. 3 2005 Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra. Zbl 1041.17006Cheng, Shun-Jen; Lam, Ngau; Zhang, R. B. 17 2004 Analogue of Kostant’s \(\mathfrak{u}\)-cohomology formula for the general linear superalgebra. Zbl 1096.17005Cheng, Shun-Jen; Zhang, R. B. 16 2004 Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras. Zbl 1056.17004Cheng, Shun-Jen; Zhang, R. B. 16 2004 On irreducibility of tensor products of evaluation modules for the quantum affine algebra. Zbl 1050.17012Molev, A. I.; Tolstoy, V. N.; Zhang, R. B. 7 2004 Quantum superalgebra representations on cohomology groups of non-commutative bundles. Zbl 1089.17007Zhang, R. B. 5 2004 Howe duality and the quantum general linear group. Zbl 1068.17005Zhang, R. B. 10 2003 Multiplicity free actions of quantum groups and generalized Howe duality. Zbl 1068.17004Lai, K. F.; Zhang, R. B. 1 2003 The general linear supergroup and its Hopf superalgebra of regular functions. Zbl 1047.17016Scheunert, M.; Zhang, R. B. 10 2002 Quantum enveloping superalgebras and link invariants. Zbl 1059.17012Zhang, R. B. 4 2002 Invariant integration on classical and quantum Lie supergroups. Zbl 1032.17054Scheunert, M.; Zhang, R. B. 7 2001 Quantum group actions on the Cuntz algebra. Zbl 0974.17013Carey, A. L.; Paolucci, A.; Zhang, R. B. 3 2000 Structure and representations on the quantum supergroup \(\text{OSP}_ q(2| 2n)\). Zbl 1054.81514Zhang, R. B. 1 2000 Colored solutions of the Yang-Baxter equation from representations of \(U_q\operatorname{gl}(2)\). Zbl 1005.17013Luan, Pi-Gang; Lee, H. C.; Zhang, R. B. 1 2000 Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\). Zbl 0932.17009Van der Jeugt, J.; Zhang, R. B. 15 1999 Geometry of quantum homogeneous vector bundles and representation theory of quantum groups. I. Zbl 0990.17013Gover, A. R.; Zhang, R. B. 7 1999 The second cohomology of \(\text{sl}(m|1)\) with coefficients in its enveloping algebra is trivial. Zbl 0944.17016Scheunert, M.; Zhang, R. B. 5 1999 Geometry and representations of the quantum supergroup \(\text{OSp}_q(1|2n)\). Zbl 1032.17502Lee, H. C.; Zhang, R. B. 2 1999 Cohomology of Lie superalgebras and their generalizations. Zbl 0928.17023Scheunert, M.; Zhang, R. B. 58 1998 Structure and representations of the quantum general linear supergroup. Zbl 0948.17004Zhang, R. B. 21 1998 Symmetrizable quantum affine superalgebras and their representations. Zbl 0870.17014Zhang, R. B. 6 1997 Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J. 4 1997 Bott-Borel-Weil construction for quantum supergroup \(\text{U}_ q(\text{gl}(m| n))\). Zbl 0886.17011Zhang, R. B. 2 1997 Vector coherent state realization of representations of the affine Lie algebra \(\widehat{sl}(2)\). Zbl 0943.81013Zhang, R. B. 1 1997 Minimal uncertainty states for quantum groups. Zbl 0924.17009Delbourgo, R.; Zhang, R. B. 1 1997 The \(gl(M| N)\) super Yangian and its finite-dimensional representations. Zbl 0861.17020Zhang, R. B. 11 1996 Lickorish invariant and quantum \(\text{osp}(1|2)\). Zbl 1020.57504Zhang, R. B.; Lee, H. C. 1 1996 Representations of super Yangian. Zbl 0855.17012Zhang, R. B. 9 1995 Quantum supergroups and topological invariants of three-manifolds. Zbl 0845.57010Zhang, R. B. 7 1995 The quantum super-Yangian and Casimir operators of \(U_ q{\mathfrak {gl}}(M| N)\). Zbl 0835.17015Zhang, R. B. 5 1995 Three-manifold invariants arising from \(U_q(\text{osp}(1|2))\). Zbl 1020.57503Zhang, R. B. 4 1994 Multiparameter link invariants from quantum supergroups. Zbl 0811.17018Links, J. R.; Zhang, R. B. 3 1994 A two-parameter quantization of \(sl(2/1)\) and its finite-dimensional representations. Zbl 0822.17012Zhang, R. B. 2 1994 Induced module construction for highest-weight representations of \(U_ q({\mathfrak {gl}}(n))\) at roots of unity. Zbl 0840.17012Links, J. R.; Zhang, R. B. 1 1994 Finite dimensional irreducible representations of the quantum supergroup \(U_ q(gl(m/n))\). Zbl 0784.17029Zhang, R. B. 43 1993 Quantum double construction for graded Hopf algebras. Zbl 0801.16037Gould, M. D.; Zhang, R. B.; Bracken, A. J. 13 1993 Quantum supergroups, link polynomials and representation of the braid generator. Zbl 0786.17012Links, J. R.; Gould, M. D.; Zhang, R. B. 10 1993 Finite-dimensional representations of \(U_ q(C(n+1))\) at arbitrary \(q\). Zbl 0821.17019Zhang, R. B. 5 1993 Eigenvalues of Casimir invariants of \(U_ q(\text{gl}(m/n))\). Zbl 0787.17013Links, J. R.; Zhang, R. B. 4 1993 Universal \(L\) operator and invariants of the quantum supergroup \(U_{q}(gl(m/n))\). Zbl 0769.17011Zhang, R. B. 17 1992 Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\). Zbl 0763.17019Zhang, R. B. 14 1992 Braid group representations arising from quantum supergroups with arbitrary \(q\) and link polynomials. Zbl 0781.20026Zhang, R. B. 12 1992 A two-parameter quantization of osp(4/2). Zbl 0765.17021Zhang, R. B. 2 1992 BRST cohomology for \(U_ q(sl(2))\) representations. Zbl 0766.17025Jarvis, P. D.; Warner, Roland C.; Yung, C. M.; Zhang, R. B. 1 1992 Quantum group invariants and link polynomials. Zbl 0735.17018Zhang, R. B.; Gould, M. D.; Bracken, A. J. 32 1991 A q-analogue of Bargmann space and its scalar product. Zbl 0734.46045Bracken, A. J.; McAnally, D. S.; Zhang, R. B.; Gould, M. D. 21 1991 Generalized Gel’fand invariants and characteristic identities for quantum groups. Zbl 0747.17020Gould, M. D.; Zhang, R. B.; Bracken, A. J. 21 1991 Universal \(R\) matrices and invariants of quantum supergroups. Zbl 0759.17011Zhang, R. B.; Gould, M. D. 17 1991 Solutions of the graded classical Yang-Baxter equation and integrable models. Zbl 0727.17007Zhang, R. B.; Gould, M. D.; Bracken, A. J. 14 1991 Lie bi-superalgebras and the graded classical Yang-Baxter equation. Zbl 0760.17010Gould, M. D.; Zhang, R. B.; Bracken, A. J. 10 1991 Graded representations of the Temperley-Lieb algebra, quantum supergroups, and the Jones polynomial. Zbl 0751.17017Zhang, R. B. 9 1991 Invariants of the quantum supergroup \(U_ q(gl(m/1))\). Zbl 0769.17012Zhang, R. B. 2 1991 Generalized Gelfand invariants of quantum groups. Zbl 0727.17008Zhang, R. B.; Gould, M. D.; Bracken, A. J. 1 1991 Quantum supergroups and solutions of the Yang-Baxter equation. Zbl 1020.17503Bracken, A. J.; Gould, M. D.; Zhang, R. B. 25 1990 Classification of all star irreps of gl(m/n). Zbl 0728.17003Gould, M. D.; Zhang, R. B. 21 1990 Classification of all star and grade star irreps of gl(n\(| 1)\). Zbl 0717.17024Gould, M. D.; Zhang, R. B. 10 1990 Unitary representations of basic classical Lie superalgebras. Zbl 0715.17027Gould, M. D.; Zhang, R. B. 4 1990 Classification of star and grade-star representations of \(C(n+1)\). Zbl 0717.17023Zhang, R. B.; Gould, M. D. 3 1990 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 545 Authors 54 Zhang, Ruibin 38 Gould, Mark D. 18 Links, Jon Robert 15 Su, Yucai 13 Cheng, Shun-Jen 11 Zhang, Yaozhong 10 Lam, Ngau 10 Zhao, Kaiming 9 Kwon, Jae-Hoon 9 Lehrer, Gustav Isaac 8 Stroppel, Catharina H. 7 Bracken, Anthony J. 7 Coulembier, Kevin 7 Isaac, Phillip S. 7 Navarro, Rosa María 7 Tsuboi, Zengo 7 Van der Jeugt, Joris 7 Wu, Yuezhu 6 Brundan, Jonathan 6 Liu, Genqiang 6 Rui, Hebing 6 Scheunert, Manfred 6 Stoilova, Nedjalka I. 6 Tyutin, Igor Viktorovich 6 Wang, Weiqiang 5 De Wit, David 5 Khakimdjanov, Yusupdjan 5 Tsohantjis, Ioannis 5 Wang, Yongjie 5 Zhang, Hechun 4 Andersen, Henning Haahr 4 Benayadi, Saïd 4 De Bie, Hendrik 4 Du, Jie 4 East, James 4 Futorny, Vyacheslav M. 4 Gromov, Nikolay 4 Gu, Haixia 4 Kazakov, Vladimir A. 4 Konstein, Semjon E. 4 Sartori, Antonio 4 Song, Linliang 4 Tubbenhauer, Daniel 4 Xiao, Zhankui 4 Yang, Shilin 4 Zou, Yiming 3 Aizawa, Naruhiko 3 Ammar, Faouzi Ben 3 Bai, Chengming 3 Boe, Brian Douglas 3 Carey, Alan L. 3 Chang, Zhihua 3 Chen, Jialei 3 Dancer, Karen A. 3 Geer, Nathan 3 Grašič, Mateja 3 Guo, Xiangqian 3 Jarvis, Peter D. 3 Kujawa, Jonathan R. 3 Lima Santos, A. 3 Makhlouf, Abdenacer 3 Nakano, Daniel K. 3 Patureau-Mirand, Bertrand 3 Ragoucy, Eric 3 Segar, Jambulingam 3 Silvestrov, Sergei D. 3 Tang, Xiaomin 3 Vinet, Luc 3 Wang, Yan 3 Werry, Jason L. 3 Yang, Hengyun 3 Zhang, Huafeng 3 Zhang, Xiao 3 Zhu, Linsheng 2 Arnaudon, Daniel 2 Arnlind, Joakim 2 Benkart, Georgia M. 2 Billig, Yuly 2 Bouarroudj, Sofiane 2 Burgos, María J. 2 Cao, Bintao 2 Chaichian, Masud 2 Chebotar, Mikhail A. 2 Chen, Chih-Whi 2 Chen, Liangyun 2 Chen, Xiaoyu 2 Chen, Zhiqi 2 Cheng, Jin 2 Codriansky, Simón 2 Crampé, Nicolas 2 Dobrev, Vladimir K. 2 Dung, Nguyên Thi Phuong 2 Ehrig, Michael 2 El Turkey, Houssein 2 Frappat, Luc 2 Freslon, Amaury 2 Gabriel, Olivier 2 Gade, R. M. 2 Gao, Yun 2 Gómez, José R. ...and 445 more Authors all top 5 Cited in 102 Serials 82 Journal of Mathematical Physics 55 Journal of Algebra 23 Communications in Mathematical Physics 22 Letters in Mathematical Physics 16 Advances in Mathematics 14 Nuclear Physics. B 13 Journal of Geometry and Physics 12 Communications in Algebra 11 Journal of Pure and Applied Algebra 9 Mathematische Zeitschrift 9 Transactions of the American Mathematical Society 8 Physics Letters. A 8 Linear Algebra and its Applications 8 Algebras and Representation Theory 8 Journal of High Energy Physics 7 International Journal of Theoretical Physics 7 Theoretical and Mathematical Physics 7 Journal of Knot Theory and its Ramifications 7 Transformation Groups 6 Linear and Multilinear Algebra 6 Proceedings of the American Mathematical Society 6 Algebra Colloquium 5 Bulletin of the Australian Mathematical Society 5 Journal of Algebraic Combinatorics 5 Acta Mathematica Sinica. 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Particles and Fields 1 European Journal of Pure and Applied Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 São Paulo Journal of Mathematical Sciences 1 Annalen der Physik 1 Complex Analysis and its Synergies ...and 2 more Serials all top 5 Cited in 35 Fields 368 Nonassociative rings and algebras (17-XX) 170 Quantum theory (81-XX) 92 Associative rings and algebras (16-XX) 65 Group theory and generalizations (20-XX) 30 Manifolds and cell complexes (57-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Combinatorics (05-XX) 18 Functional analysis (46-XX) 17 Algebraic geometry (14-XX) 17 Category theory; homological algebra (18-XX) 17 Topological groups, Lie groups (22-XX) 17 Statistical mechanics, structure of matter (82-XX) 13 Differential geometry (53-XX) 11 Special functions (33-XX) 7 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 6 Commutative algebra (13-XX) 5 \(K\)-theory (19-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operator theory (47-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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