Edit Profile (opens in new tab) Campoamor-Stursberg, Rutwig Compute Distance To: Compute Author ID: campoamor-stursberg.rutwig Published as: Campoamor-Stursberg, R.; Campoamor-Stursberg, Rutwig; Campoamor, Rutwig; Campoamor Stursberg, Otto Rutwig; Campoamor-Stursberg, Otto Rutwig; Campoamor Stursberg, Rutwig; Campoamor Stursberg, O. R.; Campoamor-Stursberg, O. R.; Campoamor Stursberg, R.; Campoamor, Otto Rutwig more...less Documents Indexed: 132 Publications since 2000, including 2 Books 1 Contribution as Editor Reviewing Activity: 199 Reviews Co-Authors: 35 Co-Authors with 69 Joint Publications 730 Co-Co-Authors all top 5 Co-Authors 64 single-authored 32 Ancochea Bermúdez, José María 8 Rausch de Traubenberg, Michel 6 García Vergnolle, Lucia 4 Marquette, Ian 3 Ballesteros, Angel 3 Boya, Luis Joaquín 3 de Lucas, Javier 3 Fernández-Saiz, Eduardo 3 Herranz, Francisco José 3 Oviaño García, Francisco 2 Gonzalez-Gascon, Francisco 2 Goze, Michel 2 Low, Stephen G. 2 Manturov, Vassiliĭ Olegovich 2 Nucci, Maria Clara 2 Ovando, Gabriela P. 1 Ardenghi, Juan Sebastian 1 Cardoso, Isolda E. 1 Cariñena, José F. 1 Castagnino, Mario Alberto 1 de Montigny, Marc 1 Gadella, Manuel 1 Gueron, Jorge 1 Jarvis, Peter D. 1 Kuru, Şengül 1 Latini, Danilo 1 Luque-Raigón, José Miguel 1 Monjo, Robert 1 Musso, Fabio 1 Negro, Javier 1 Peralta-Salas, Daniel 1 Rañada, Manuel F. 1 Sánchez-Hernández, Jonathan 1 Winternitz, Pavel 1 Zhang, Yaozhong all top 5 Serials 17 Journal of Physics A: Mathematical and Theoretical 10 Journal of Mathematical Physics 9 Journal of Physics A: Mathematical and General 8 Linear Algebra and its Applications 6 Acta Physica Polonica B 5 Physics Letters. A 4 Journal of Mathematical Sciences (New York) 4 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Algebra 3 Linear and Multilinear Algebra 3 Journal of Geometry and Physics 3 Annals of Physics 3 Algebras, Groups and Geometries 3 Algebra Colloquium 3 Advanced Studies in Theoretical Physics 2 Acta Mechanica 2 International Journal of Theoretical Physics 2 Hadronic Journal 2 Applied Mathematics and Computation 2 Journal of Pure and Applied Algebra 2 Forum Mathematicum 2 Journal of Lie Theory 2 International Mathematical Journal 2 International Mathematical Forum 2 Symmetry 1 Classical and Quantum Gravity 1 Journal of Algebra 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Extracta Mathematicae 1 International Journal of Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 1 Transformation Groups 1 Mathematics and Mechanics of Solids 1 Revista Matemática Complutense 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Geometric Methods in Modern Physics 1 Cubo 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Matematicheskiĭ Zhurnal 1 Journal of Generalized Lie Theory and Applications 1 Axioms 1 Monografías de la Real Academía de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza all top 5 Fields 103 Nonassociative rings and algebras (17-XX) 38 Quantum theory (81-XX) 21 Topological groups, Lie groups (22-XX) 18 Ordinary differential equations (34-XX) 10 Mechanics of particles and systems (70-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 350 times in 207 Documents Cited by ▼ Year ▼ Classification of Lie algebras with naturally graded quasi-filiform nilradicals. Zbl 1275.17023Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. 24 2011 Color Lie algebras and Lie algebras of order \(F\). Zbl 1207.17038Campoamor-Stursberg, R.; Rausch de Traubenberg, M. 15 2009 Solvable Lie algebras with naturally graded nilradicals and their invariants. Zbl 1095.17003Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, Lucia 14 2006 Systems of second-order linear ODE’s with constant coefficients and their symmetries. Zbl 1235.34108Campoamor-Stursberg, R. 13 2011 Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence. Zbl 1328.17014Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 12 2016 Characteristically nilpotent Lie algebras: A survey. Zbl 0996.17007Ancochea, José M.; Campoamor, Rutwig 12 2001 Indecomposable Lie algebras with nontrivial Levi decomposition cannot have filiform radical. Zbl 1142.17300Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. 11 2006 Contractions of 2-dimensional Jordan algebras. (Contractions d’algèbres de Jordan en dimension 2.) Zbl 1221.17039Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L.; Sánchez Hernández, J. 11 2008 Solvable Lie algebras with an \(\mathbb N\)-graded nilradical of maximal nilpotency degree and their invariants. Zbl 1197.17004Campoamor-Stursberg, R. 10 2010 Systems of second-order linear ODE’s with constant coefficients and their symmetries. II. The case of non-diagonal coefficient matrices. Zbl 1263.34045Campoamor-Stursberg, R. 9 2012 On a complete rigid Leibniz non-Lie algebra in arbitrary dimension. Zbl 1300.17001Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 9 2013 On Lie algebras whose nilradical is \((n-p)\)-filiform. Zbl 1054.17008Ancochea Bermúdez, Jose María; Campoamor-Stursberg, Otto Rutwig 8 2001 An alternative interpretation of the Beltrametti-Blasi formula by means of differential forms. Zbl 1138.17305Campoamor-Stursberg, Rutwig 8 2004 Kinematical superalgebras and Lie algebras of order 3. Zbl 1152.81360Campoamor-Stursberg, R.; Rausch de Traubenberg, M. 7 2008 Two-step solvable Lie algebras and weight graphs. Zbl 1048.17006Ancochea Bermúdez, José María; Campoamor-Stursberg, Rutwig 7 2002 Invariants of solvable rigid Lie algebras up to dimension 8. Zbl 1051.17011Campoamor-Stursberg, Rutwig 7 2002 A new matrix method for the Casimir operators of the Lie algebras \(w\, \mathfrak{sp} (N,\mathbb R)\) and \( I \,\mathfrak{sp}(2N, \mathbb R)\). Zbl 1087.81024Campoamor-Stursberg, Rutwig 7 2005 A graph theoretical determination of solvable complete rigid Lie algebras. Zbl 1039.17007Campoamor-Stursberg, R. 6 2003 Higher-order superintegrability of a Holt related potential. Zbl 1333.37080Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F. 6 2013 Completable filiform Lie algebras. Zbl 1042.17005Ancochea Bermúdez, José María; Campoamor, Rutwig 6 2003 Superposition of super-integrable pseudo-Euclidean potentials in \(N = 2\) with a fundamental constant of motion of arbitrary order in the momenta. Zbl 1348.70046Campoamor-Stursberg, R. 5 2014 Real solvable algebraically rigid Lie algebras. (Algèbres de Lie résolubles réelles algébriquement rigides.) Zbl 1140.17004Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L.; Goze, M. 5 2007 A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations. Zbl 1197.17010Campoamor-Stursberg, R. 5 2007 Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators. Zbl 1156.17003Campoamor-Stursberg, R.; Low, S. G. 5 2009 Invariant tensor formulas via chord diagrams. Zbl 1146.57016Campoamor-Stursberg, R.; Manturov, V. O. 5 2005 On certain families of naturally graded Lie algebras. Zbl 0996.17009Ancochea Bermúdez, José María; Campoamor Stursberg, Rutwig 5 2002 Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries. Zbl 1358.70025Campoamor-Stursberg, R. 4 2016 Symplectic forms on six-dimensional real solvable Lie algebras. I. Zbl 1188.17008Campoamor-Stursberg, Rutwig 4 2009 Real rigid solvable Lie algebras are not necessarily completely solvable. (Les algèbres de Lie résolubles rigides réelles ne sont pas nécessairement complètement résolubles.) Zbl 1161.17005Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. 4 2006 Characteristically nilpotent Lie algebras of type \({\mathfrak g}_1\underline{\times} {\mathfrak g}_2\). Zbl 1079.17005Ancochea Bermúdez, José María; Campoamor, Rutwig 4 2003 Symplectic forms and products by generators. Zbl 1125.17305Ancochea Bermúdez, José María; Campoamor, Rutwig 4 2002 On 2-abelian (\(n\)-\(5\))-filiform Lie algebras. Zbl 0979.17004Ancochea Bermúdez, José María; Campoamor Stursberg, Otto Rutwig 3 2001 The structure of the invariants of perfect Lie algebras. Zbl 1075.17005Campoamor-Stursberg, Rutwig 3 2004 Structural data and invariants of nine dimensional real Lie algebras with nontrivial Levi decomposition. Zbl 1209.17008Campoamor-Stursberg, R. 3 2009 Rigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras. Zbl 1473.17033Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 3 2018 Classification of solvable real rigid Lie algebras with a nilradical of dimension \(n \leq 6\). Zbl 1352.17011Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 3 2015 Non-solvable contractions of semisimple Lie algebras in low dimension. Zbl 1122.17003Campoamor-Stursberg, R. 3 2007 An inverse problem in Lagrangian dynamics based on the preservation of symmetry groups: application to systems with a position-dependent mass. Zbl 1430.70051Campoamor-Stursberg, R. 3 2018 Low dimensional Vessiot-Guldberg-Lie algebras of second-order ordinary differential equations. Zbl 1373.34018Campoamor-Stursberg, Rutwig 3 2016 Extending invariant complex structures. Zbl 1352.17007Campoamor-Stursberg, Rutwig; Cardoso, Isolda E.; Ovando, Gabriela P. 3 2015 Classification of \((n-5)\)-filiform Lie algebras. Zbl 0996.17008Ancochea Bermúdez, José María; Campoamor Stursberg, Otto Rutwig 3 2001 Invariant complex structures on tangent and cotangent Lie groups of dimension six. Zbl 1256.53024Campoamor-Stursberg, Rutwig; Ovando, Gabriela P. 3 2012 Non-semisimple Lie algebras with Levi factor \(\mathfrak{so}(3), \mathfrak{sl}(2,\mathbb R)\) and their invariants. Zbl 1051.17019Campoamor-Stursberg, Rutwig 3 2003 On \(k\)-filiform Lie algebras. I. Zbl 1049.17007Campoamor Stursberg, O. R. 3 2002 Some remarks concerning the invariants of rank one solvable real Lie algebras. Zbl 1077.17012Campoamor-Stursberg, Rutwig 3 2005 Some comments on contractions of Lie algebras. Zbl 1185.17004Campoamor-Stursberg, R. 3 2008 Group theory in physics. A practitioner’s guide. Zbl 1416.81002Campoamor-Stursberg, Rutwig; Rausch de Traubenberg, Michel 3 2019 Quasi-classical Lie algebras and their contractions. Zbl 1171.17001Campoamor-Stursberg, R. 2 2008 New examples of rank one solvable real rigid Lie algebras possessing a nonvanishing Chevalley cohomology. Zbl 1428.17007Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; Oviaño García, F. 2 2018 A functional realization of \(\mathfrak{sl}(3, \mathbb{R})\) providing minimal Vessiot-Guldberg-Lie algebras of nonlinear second-order ordinary differential equations as proper subalgebras. Zbl 1388.34009Campoamor-Stursberg, R. 2 2016 Cohomological rigidity of the Schrödinger algebra \(S(N)\) and its central extension \(\hat{S}(N)\). Zbl 1412.17009Campoamor-Stursberg, Rutwig 2 2017 2-step solvable Lie algebras associated to nonsplit 7-dimensional fundamental algebras. Zbl 1167.17307Campoamor-Stursberg, R. 2 2002 Internal labelling problem: an algorithmic procedure. Zbl 1222.81185Campoamor-Stursberg, Rutwig 2 2011 Dynamical systems embedded into Lie algebras. Zbl 1027.34045Campoamor-Stursberg, O. R.; Gascon, F. G.; Peralta-Salas, D. 2 2001 Non-filiform characteristically nilpotent and complete Lie algebras. Zbl 1030.17005Ancochea-Bermúdez, José María; Campoamor, Rutwig 2 2002 An extension based determinantal method to compute Casimir operators of Lie algebras. Zbl 1051.17005Campoamor-Stursberg, Rutwig 2 2003 On the invariants of some solvable rigid Lie algebras. Zbl 1061.17011Campoamor-Stursberg, Rutwig 2 2003 Symmetry preserving discretization of ordinary differential equations. large symmetry groups and higher order equations. Zbl 1344.65069Campoamor-Stursberg, R.; Rodríguez, M. A.; Winternitz, P. 2 2016 The nonrelativistic limit of (central-extended) Poincaré group and some consequences for quantum actualization. Zbl 1221.81089Ardenghi, Juan S.; Castagnino, M.; Campoamor-Stursberg, R. 2 2009 On the product by generators of characteristically nilpotent Lie \(S\)-algebras. Zbl 1039.17006Ancochea Bermúdez, José María; Campoamor-Stursberg, Rutwig 1 2003 An elementary derivation of the matrix elements of real irreducible representations of \(\mathfrak{so}(3)\). Zbl 1423.17009Campoamor-Stursberg, Rutwig 1 2015 Affine Lie algebras with non-compact rank one Levi subalgebra and their invariants. Zbl 1371.17004Campoamor-Stursberg, R. 1 2007 An alternative approach to systems of second-order ordinary differential equations with maximal symmetry. Realizations of \(\mathfrak{sl}(n+2,\mathbb{R})\) by special functions. Zbl 1473.70037Campoamor-Stursberg, R. 1 2016 On certain types of point symmetries of systems of second-order ordinary differential equations. Zbl 07175070Campoamor-Stursberg, R. 1 2014 Some features of rank one real solvable cohomologically rigid Lie algebras with a nilradical contracting onto the model filiform Lie algebra \(Q_n\). Zbl 1432.17019Campoamor-Stursberg, Rutwig; Oviaño García, Francisco 1 2019 The Lie algebra \(\mathfrak{sl}(2,\mathbb{R})\) and Noether point symmetries of Lagrangian systems. Zbl 1461.70022Campoamor-Stursberg, Rutwig 1 2019 Composition algebras and the two faces of \(G_2\). Zbl 1196.22008Boya, Luis J.; Campoamor-Stursberg, Rutwig 1 2010 Determinantal formulae for the Casimir operators of inhomogeneous Lie algebras. Zbl 1098.17004Campoamor-Stursberg, Rutwig 1 2006 Application of the Gel’fand matrix method to the missing label problem in classical kinematical Lie algebras. Zbl 1094.81030Campoamor-Stursberg, Rutwig 1 2006 Commutativity of missing label operators in terms of Berezin brackets. Zbl 1166.81369Boya, Luis J.; Campoamor-Stursberg, Rutwig 1 2009 Internal labelling operators and contractions of Lie algebras. Zbl 1133.81024Campoamor-Stursberg, R. 1 2007 \(n\)-fold Kronecker products of \(\mathfrak{su}(2)\)-multiplets and \(\mathfrak{h}_N\)-compatibility. Zbl 1200.81078Campoamor-Stursberg, R. 1 2010 Unexpected features of supersymmetry with central charges. Zbl 1232.81051Campoamor-Stursberg, Rutwig; Rausch de Traubenberg, Michel 1 2010 Poisson-Hopf algebra deformations of Lie-Hamilton systems. Zbl 1412.70020Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier 1 2018 Parafermions for higher order extensions of the Poincaré algebra and their associated superspace. Zbl 1179.81101Campoamor-Stursberg, Rutwig; Rausch de Traubenberg, Michel 1 2009 Unitary representations of three dimensional Lie groups revisited: A short tutorial via harmonic functions. Zbl 1360.22028Campoamor-Stursberg, R.; Rausch de Traubenberg, M. 1 2017 An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras. Zbl 1352.17003Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 1 2014 Projective representations of the inhomogeneous Hamilton group: noninertial symmetry in quantum mechanics. Zbl 1247.81164Low, S. G.; Jarvis, P. D.; Campoamor-Stursberg, R. 1 2012 Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra. Zbl 1283.34033Campoamor-Stursberg, R.; Guerón, J. 1 2013 On characteristically nilpotent Lie algebras of type \(Q\). Zbl 1107.17007Ancochea Bermúdez, José María; Campoamor, Rutwig 1 2003 The structure of the invariants of perfect Lie algebras. II. Zbl 1168.22301Campoamor-Stursberg, Rutwig 1 2004 On the cohomology of Frobenius model Lie algebras. Zbl 1049.17019Ancochea Bermúdez, José María; Campoamor-Stursberg, Rutwig 1 2004 Intrinsic formulae for the Casimir operators of semidirect products of the exceptional Lie algebra \(G_2\) and a Heisenberg Lie algebra. Zbl 1062.22040Campoamor-Stursberg, Rutwig 1 2004 Contractions of Lie algebras and generalized Casimir invariants. Zbl 1066.17003Campoamor-Stursberg, Rutwig 1 2003 Maximally superintegrable systems in flat three-dimensional space are linearizable. Zbl 1459.70038Nucci, M. C.; Campoamor-Stursberg, R. 1 2021 Maximally superintegrable systems in flat three-dimensional space are linearizable. Zbl 1459.70038Nucci, M. C.; Campoamor-Stursberg, R. 1 2021 Group theory in physics. A practitioner’s guide. Zbl 1416.81002Campoamor-Stursberg, Rutwig; Rausch de Traubenberg, Michel 3 2019 Some features of rank one real solvable cohomologically rigid Lie algebras with a nilradical contracting onto the model filiform Lie algebra \(Q_n\). Zbl 1432.17019Campoamor-Stursberg, Rutwig; Oviaño García, Francisco 1 2019 The Lie algebra \(\mathfrak{sl}(2,\mathbb{R})\) and Noether point symmetries of Lagrangian systems. Zbl 1461.70022Campoamor-Stursberg, Rutwig 1 2019 Rigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras. Zbl 1473.17033Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 3 2018 An inverse problem in Lagrangian dynamics based on the preservation of symmetry groups: application to systems with a position-dependent mass. Zbl 1430.70051Campoamor-Stursberg, R. 3 2018 New examples of rank one solvable real rigid Lie algebras possessing a nonvanishing Chevalley cohomology. Zbl 1428.17007Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; Oviaño García, F. 2 2018 Poisson-Hopf algebra deformations of Lie-Hamilton systems. Zbl 1412.70020Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier 1 2018 Cohomological rigidity of the Schrödinger algebra \(S(N)\) and its central extension \(\hat{S}(N)\). Zbl 1412.17009Campoamor-Stursberg, Rutwig 2 2017 Unitary representations of three dimensional Lie groups revisited: A short tutorial via harmonic functions. Zbl 1360.22028Campoamor-Stursberg, R.; Rausch de Traubenberg, M. 1 2017 Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence. Zbl 1328.17014Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 12 2016 Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries. Zbl 1358.70025Campoamor-Stursberg, R. 4 2016 Low dimensional Vessiot-Guldberg-Lie algebras of second-order ordinary differential equations. Zbl 1373.34018Campoamor-Stursberg, Rutwig 3 2016 A functional realization of \(\mathfrak{sl}(3, \mathbb{R})\) providing minimal Vessiot-Guldberg-Lie algebras of nonlinear second-order ordinary differential equations as proper subalgebras. Zbl 1388.34009Campoamor-Stursberg, R. 2 2016 Symmetry preserving discretization of ordinary differential equations. large symmetry groups and higher order equations. Zbl 1344.65069Campoamor-Stursberg, R.; Rodríguez, M. A.; Winternitz, P. 2 2016 An alternative approach to systems of second-order ordinary differential equations with maximal symmetry. Realizations of \(\mathfrak{sl}(n+2,\mathbb{R})\) by special functions. Zbl 1473.70037Campoamor-Stursberg, R. 1 2016 Classification of solvable real rigid Lie algebras with a nilradical of dimension \(n \leq 6\). Zbl 1352.17011Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 3 2015 Extending invariant complex structures. Zbl 1352.17007Campoamor-Stursberg, Rutwig; Cardoso, Isolda E.; Ovando, Gabriela P. 3 2015 An elementary derivation of the matrix elements of real irreducible representations of \(\mathfrak{so}(3)\). Zbl 1423.17009Campoamor-Stursberg, Rutwig 1 2015 Superposition of super-integrable pseudo-Euclidean potentials in \(N = 2\) with a fundamental constant of motion of arbitrary order in the momenta. Zbl 1348.70046Campoamor-Stursberg, R. 5 2014 On certain types of point symmetries of systems of second-order ordinary differential equations. Zbl 07175070Campoamor-Stursberg, R. 1 2014 An irreducible component of the variety of Leibniz algebras having trivial intersection with the variety of Lie algebras. Zbl 1352.17003Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 1 2014 On a complete rigid Leibniz non-Lie algebra in arbitrary dimension. Zbl 1300.17001Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R. 9 2013 Higher-order superintegrability of a Holt related potential. Zbl 1333.37080Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F. 6 2013 Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra. Zbl 1283.34033Campoamor-Stursberg, R.; Guerón, J. 1 2013 Systems of second-order linear ODE’s with constant coefficients and their symmetries. II. The case of non-diagonal coefficient matrices. Zbl 1263.34045Campoamor-Stursberg, R. 9 2012 Invariant complex structures on tangent and cotangent Lie groups of dimension six. Zbl 1256.53024Campoamor-Stursberg, Rutwig; Ovando, Gabriela P. 3 2012 Projective representations of the inhomogeneous Hamilton group: noninertial symmetry in quantum mechanics. Zbl 1247.81164Low, S. G.; Jarvis, P. D.; Campoamor-Stursberg, R. 1 2012 Classification of Lie algebras with naturally graded quasi-filiform nilradicals. Zbl 1275.17023Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. 24 2011 Systems of second-order linear ODE’s with constant coefficients and their symmetries. Zbl 1235.34108Campoamor-Stursberg, R. 13 2011 Internal labelling problem: an algorithmic procedure. Zbl 1222.81185Campoamor-Stursberg, Rutwig 2 2011 Solvable Lie algebras with an \(\mathbb N\)-graded nilradical of maximal nilpotency degree and their invariants. Zbl 1197.17004Campoamor-Stursberg, R. 10 2010 Composition algebras and the two faces of \(G_2\). Zbl 1196.22008Boya, Luis J.; Campoamor-Stursberg, Rutwig 1 2010 \(n\)-fold Kronecker products of \(\mathfrak{su}(2)\)-multiplets and \(\mathfrak{h}_N\)-compatibility. Zbl 1200.81078Campoamor-Stursberg, R. 1 2010 Unexpected features of supersymmetry with central charges. Zbl 1232.81051Campoamor-Stursberg, Rutwig; Rausch de Traubenberg, Michel 1 2010 Color Lie algebras and Lie algebras of order \(F\). Zbl 1207.17038Campoamor-Stursberg, R.; Rausch de Traubenberg, M. 15 2009 Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators. Zbl 1156.17003Campoamor-Stursberg, R.; Low, S. G. 5 2009 Symplectic forms on six-dimensional real solvable Lie algebras. I. Zbl 1188.17008Campoamor-Stursberg, Rutwig 4 2009 Structural data and invariants of nine dimensional real Lie algebras with nontrivial Levi decomposition. Zbl 1209.17008Campoamor-Stursberg, R. 3 2009 The nonrelativistic limit of (central-extended) Poincaré group and some consequences for quantum actualization. Zbl 1221.81089Ardenghi, Juan S.; Castagnino, M.; Campoamor-Stursberg, R. 2 2009 Commutativity of missing label operators in terms of Berezin brackets. Zbl 1166.81369Boya, Luis J.; Campoamor-Stursberg, Rutwig 1 2009 Parafermions for higher order extensions of the Poincaré algebra and their associated superspace. Zbl 1179.81101Campoamor-Stursberg, Rutwig; Rausch de Traubenberg, Michel 1 2009 Contractions of 2-dimensional Jordan algebras. (Contractions d’algèbres de Jordan en dimension 2.) Zbl 1221.17039Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L.; Sánchez Hernández, J. 11 2008 Kinematical superalgebras and Lie algebras of order 3. Zbl 1152.81360Campoamor-Stursberg, R.; Rausch de Traubenberg, M. 7 2008 Some comments on contractions of Lie algebras. Zbl 1185.17004Campoamor-Stursberg, R. 3 2008 Quasi-classical Lie algebras and their contractions. Zbl 1171.17001Campoamor-Stursberg, R. 2 2008 Real solvable algebraically rigid Lie algebras. (Algèbres de Lie résolubles réelles algébriquement rigides.) Zbl 1140.17004Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L.; Goze, M. 5 2007 A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations. Zbl 1197.17010Campoamor-Stursberg, R. 5 2007 Non-solvable contractions of semisimple Lie algebras in low dimension. Zbl 1122.17003Campoamor-Stursberg, R. 3 2007 Affine Lie algebras with non-compact rank one Levi subalgebra and their invariants. Zbl 1371.17004Campoamor-Stursberg, R. 1 2007 Internal labelling operators and contractions of Lie algebras. Zbl 1133.81024Campoamor-Stursberg, R. 1 2007 Solvable Lie algebras with naturally graded nilradicals and their invariants. Zbl 1095.17003Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, Lucia 14 2006 Indecomposable Lie algebras with nontrivial Levi decomposition cannot have filiform radical. Zbl 1142.17300Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. 11 2006 Real rigid solvable Lie algebras are not necessarily completely solvable. (Les algèbres de Lie résolubles rigides réelles ne sont pas nécessairement complètement résolubles.) Zbl 1161.17005Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. 4 2006 Determinantal formulae for the Casimir operators of inhomogeneous Lie algebras. Zbl 1098.17004Campoamor-Stursberg, Rutwig 1 2006 Application of the Gel’fand matrix method to the missing label problem in classical kinematical Lie algebras. Zbl 1094.81030Campoamor-Stursberg, Rutwig 1 2006 A new matrix method for the Casimir operators of the Lie algebras \(w\, \mathfrak{sp} (N,\mathbb R)\) and \( I \,\mathfrak{sp}(2N, \mathbb R)\). Zbl 1087.81024Campoamor-Stursberg, Rutwig 7 2005 Invariant tensor formulas via chord diagrams. Zbl 1146.57016Campoamor-Stursberg, R.; Manturov, V. O. 5 2005 Some remarks concerning the invariants of rank one solvable real Lie algebras. Zbl 1077.17012Campoamor-Stursberg, Rutwig 3 2005 An alternative interpretation of the Beltrametti-Blasi formula by means of differential forms. Zbl 1138.17305Campoamor-Stursberg, Rutwig 8 2004 The structure of the invariants of perfect Lie algebras. Zbl 1075.17005Campoamor-Stursberg, Rutwig 3 2004 The structure of the invariants of perfect Lie algebras. II. Zbl 1168.22301Campoamor-Stursberg, Rutwig 1 2004 On the cohomology of Frobenius model Lie algebras. Zbl 1049.17019Ancochea Bermúdez, José María; Campoamor-Stursberg, Rutwig 1 2004 Intrinsic formulae for the Casimir operators of semidirect products of the exceptional Lie algebra \(G_2\) and a Heisenberg Lie algebra. Zbl 1062.22040Campoamor-Stursberg, Rutwig 1 2004 A graph theoretical determination of solvable complete rigid Lie algebras. Zbl 1039.17007Campoamor-Stursberg, R. 6 2003 Completable filiform Lie algebras. Zbl 1042.17005Ancochea Bermúdez, José María; Campoamor, Rutwig 6 2003 Characteristically nilpotent Lie algebras of type \({\mathfrak g}_1\underline{\times} {\mathfrak g}_2\). Zbl 1079.17005Ancochea Bermúdez, José María; Campoamor, Rutwig 4 2003 Non-semisimple Lie algebras with Levi factor \(\mathfrak{so}(3), \mathfrak{sl}(2,\mathbb R)\) and their invariants. Zbl 1051.17019Campoamor-Stursberg, Rutwig 3 2003 An extension based determinantal method to compute Casimir operators of Lie algebras. Zbl 1051.17005Campoamor-Stursberg, Rutwig 2 2003 On the invariants of some solvable rigid Lie algebras. Zbl 1061.17011Campoamor-Stursberg, Rutwig 2 2003 On the product by generators of characteristically nilpotent Lie \(S\)-algebras. Zbl 1039.17006Ancochea Bermúdez, José María; Campoamor-Stursberg, Rutwig 1 2003 On characteristically nilpotent Lie algebras of type \(Q\). Zbl 1107.17007Ancochea Bermúdez, José María; Campoamor, Rutwig 1 2003 Contractions of Lie algebras and generalized Casimir invariants. Zbl 1066.17003Campoamor-Stursberg, Rutwig 1 2003 Two-step solvable Lie algebras and weight graphs. Zbl 1048.17006Ancochea Bermúdez, José María; Campoamor-Stursberg, Rutwig 7 2002 Invariants of solvable rigid Lie algebras up to dimension 8. Zbl 1051.17011Campoamor-Stursberg, Rutwig 7 2002 On certain families of naturally graded Lie algebras. Zbl 0996.17009Ancochea Bermúdez, José María; Campoamor Stursberg, Rutwig 5 2002 Symplectic forms and products by generators. Zbl 1125.17305Ancochea Bermúdez, José María; Campoamor, Rutwig 4 2002 On \(k\)-filiform Lie algebras. I. Zbl 1049.17007Campoamor Stursberg, O. R. 3 2002 2-step solvable Lie algebras associated to nonsplit 7-dimensional fundamental algebras. Zbl 1167.17307Campoamor-Stursberg, R. 2 2002 Non-filiform characteristically nilpotent and complete Lie algebras. Zbl 1030.17005Ancochea-Bermúdez, José María; Campoamor, Rutwig 2 2002 Characteristically nilpotent Lie algebras: A survey. Zbl 0996.17007Ancochea, José M.; Campoamor, Rutwig 12 2001 On Lie algebras whose nilradical is \((n-p)\)-filiform. Zbl 1054.17008Ancochea Bermúdez, Jose María; Campoamor-Stursberg, Otto Rutwig 8 2001 On 2-abelian (\(n\)-\(5\))-filiform Lie algebras. Zbl 0979.17004Ancochea Bermúdez, José María; Campoamor Stursberg, Otto Rutwig 3 2001 Classification of \((n-5)\)-filiform Lie algebras. Zbl 0996.17008Ancochea Bermúdez, José María; Campoamor Stursberg, Otto Rutwig 3 2001 Dynamical systems embedded into Lie algebras. Zbl 1027.34045Campoamor-Stursberg, O. R.; Gascon, F. G.; Peralta-Salas, D. 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 228 Authors 42 Campoamor-Stursberg, Rutwig 19 Omirov, Bakhrom A. 17 Ancochea Bermúdez, José María 11 Khudoyberdiyev, Abror Kh. 9 Ladra González, Manuel 9 Navarro, Rosa María 8 Camacho, Luisa Maria 7 Rakhimov, Isamiddin Sattarovich 6 Alvarez, María Alejandra 5 Abdurasulov, Kobiljon K. 5 Aizawa, Naruhiko 5 Isaac, Phillip S. 5 Karimjanov, Ikboljon Abdulazizovich 5 Kaygorodov, Ivan 5 Meleshko, Sergey V. 5 Moyo, Sibusiso 5 Popovych, Roman O. 4 Adashev, Jobir Q. 4 Cariñena, José F. 4 García Vergnolle, Lucia 4 Goze, Michel 4 Masutova, K. K. 4 Rausch de Traubenberg, Michel 4 Shabanskaya, Anastasia 3 de Lucas, Javier 3 Figueroa-O’Farrill, José Miguel 3 Hernández, Isabel 3 Marquette, Ian 3 Oguis, G. F. 3 Oviaño García, Francisco 3 Popovych, Dmytro R. 3 Remm, Elisabeth 3 Segar, Jambulingam 2 Ahmed, Houida 2 Alshammari, Fahad Sameer 2 Andersen, Jørgen Ellegaard 2 Anza, Yerko 2 Ardenghi, Juan Sebastian 2 Ayupov, Shavkat Abdullaevich 2 Bekbaev, Ural Dj. 2 Benito, Pilar 2 Boyko, Vyacheslav M. 2 Calderón Martín, Antonio Jesús 2 Casas Miras, José Manuel 2 De-La-Concepción, Daniel 2 Gaybullaev, R. K. 2 Herranz, Francisco José 2 Kuznetsova, Zhanna G. 2 Lombardi, Olimpia 2 Ndogmo, Jean-Claude 2 Ovando, Gabriela P. 2 Penner, Robert C. 2 Peralta-Salas, Daniel 2 Popov, Yury 2 Rañada, Manuel F. 2 Ren, Bin 2 Sattarov, A. M. 2 Thompson, Gerard 2 Toppan, Francesco 2 Tsyganov, Andreĭ Vladimirovich 2 Volkov, Yuriĭ S. 1 Abdelwahab, Hani 1 Abedi-Fardad, Jafar 1 Acan, Hüseyin 1 Albeverio, Sergio A. 1 Alexeev, Nikita V. 1 Alfaro Arancibia, B. 1 Almaraz-Luengo, Elena 1 Amakawa, Kosuke 1 Ballesteros, Angel 1 Bandara, Narayana M. P. S. K. 1 Batat, Wafaa 1 Beltiţă, Daniel 1 Benayadi, Saïd 1 Bihlo, Alexander 1 Bizyaev, Ivan Alekseevich 1 Borisov, Alekseĭ Vladimirovich 1 Bosko-Dunbar, Lindsey 1 Bouarroudj, Sofiane 1 Cahen, Benjamin 1 Calvaruso, Giovanni 1 Cañete, Elisa M. 1 Castagnino, Mario Alberto 1 Castrillón López, Marco 1 Castro-Jiménez, Francisco Jesús 1 Ceballos, Manuel 1 Chanu, Claudia Maria 1 Chen, Hongjia 1 Chua, Victor 1 Conley, Charles H. 1 Conti, Diego 1 Daszkiewicz, Marcin 1 de Cornulier, Yves 1 de Montigny, Marc 1 De Vecchi, Francesco Carlo 1 Diniz Pereira da Silva e Silva, Diogo 1 Dobrev, Vladimir K. 1 Dunbar, Jonathan D. 1 Dwivedi, Vatsal 1 Elduque, Alberto ...and 128 more Authors all top 5 Cited in 70 Serials 26 Journal of Mathematical Physics 23 Linear Algebra and its Applications 17 Communications in Algebra 13 Linear and Multilinear Algebra 11 Journal of Geometry and Physics 8 Journal of Algebra 6 International Journal of Geometric Methods in Modern Physics 5 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Mathematical Sciences (New York) 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Acta Mechanica 3 International Journal of Theoretical Physics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Physics Letters. A 3 Siberian Mathematical Journal 3 Forum Mathematicum 3 Journal of High Energy Physics 3 Journal of Physics A: Mathematical and Theoretical 2 Theoretical and Mathematical Physics 2 Journal of Pure and Applied Algebra 2 International Journal of Algebra and Computation 2 Algebra Colloquium 2 Abstract and Applied Analysis 2 Journal of Algebra and its Applications 2 Mediterranean Journal of Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Discrete Mathematics 1 Journal of Mathematical Biology 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Graphs and Combinatorics 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 International Journal of Modern Physics D 1 Advances in Applied Clifford Algebras 1 Journal of Lie Theory 1 Electronic Journal of Probability 1 Transformation Groups 1 Nonlinear Dynamics 1 Regular and Chaotic Dynamics 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 African Diaspora Journal of Mathematics 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Communications in Mathematics 1 Axioms 1 Open Mathematics 1 Complex Manifolds 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 31 Fields 144 Nonassociative rings and algebras (17-XX) 34 Quantum theory (81-XX) 23 Topological groups, Lie groups (22-XX) 21 Ordinary differential equations (34-XX) 18 Mechanics of particles and systems (70-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Differential geometry (53-XX) 10 Partial differential equations (35-XX) 9 Associative rings and algebras (16-XX) 5 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 4 Relativity and gravitational theory (83-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Category theory; homological algebra (18-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Citations by Year