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de Graaf, Willem Adriaan

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Author ID: de-graaf.willem-adriaan Recent zbMATH articles by "de Graaf, Willem Adriaan"
Published as: De Graaf, W. A.; De Graaf, Willem; De Graaf, Willem A.; de Graaf, W. A.; de Graaf, Willem; de Graaf, Willem A.; de Graaf, Willem Adriaan
Documents Indexed: 57 Publications since 1996, including 3 Books

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 399 times in 302 Documents Cited by Year
Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2. Zbl 1137.17012
de Graaf, Willem A.
61
2007
Lie algebras: theory and algorithms. Zbl 1122.17300
de Graaf, Willem A.
50
2000
Six-dimensional nilpotent Lie algebras. Zbl 1250.17017
Cicalò, Serena; de Graaf, Willem A.; Schneider, Csaba
39
2012
Classification of solvable Lie algebras. Zbl 1173.17300
de Graaf, W. A.
39
2005
Classification of nilpotent associative algebras of small dimension. Zbl 1416.16052
De Graaf, Willem A.
20
2018
Computing with nilpotent orbits in simple Lie algebras of exceptional type. Zbl 1222.17003
de Graaf, Willem A.
16
2008
Classification of Novikov algebras. Zbl 1301.17023
Burde, Dietrich; de Graaf, Willem
15
2013
Constructing semisimple subalgebras of semisimple Lie algebras. Zbl 1255.17007
de Graaf, Willem A.
13
2011
Secant dimensions of minimal orbits: computations and conjectures. Zbl 1162.14038
Baur, Karin; Draisma, Jan; de Graaf, Willem A.
13
2007
A Lie algebra method for rational parametrization of Severi-Brauer surfaces. Zbl 1101.14052
de Graaf, Willem A.; Harrison, Michael; Pílniková, Jana; Schicho, Josef
12
2006
Computing Cartan subalgebras of Lie algebras. Zbl 0883.17001
De Graaf, Willem; Ivanyos, Gábor; Rónyai, Lajos
11
1996
Computing representatives of nilpotent orbits of \(\theta\)-groups. Zbl 1222.17002
de Graaf, Willem A.
7
2011
Induced nilpotent orbits of the simple Lie algebras of exceptional type. Zbl 1241.17007
de Graaf, Willem A.; Elashvili, Alexander
7
2009
Computing with real Lie algebras: real forms, Cartan decompositions, and Cartan subalgebras. Zbl 1332.17001
Dietrich, Heiko; Faccin, Paolo; de Graaf, Willem A.
6
2013
Computing generators of the unit group of an integral Abelian group ring. Zbl 1271.16038
Faccin, Paolo; de Graaf, Willem A.; Plesken, Wilhelm
6
2013
An effective version of the Lazard correspondence. Zbl 1254.20032
Cicalò, Serena; De Graaf, Willem A.; Vaughan-Lee, Michael
6
2012
Computing faithful representations for nilpotent Lie algebras. Zbl 1188.17007
Burde, Dietrich; Eick, Bettina; de Graaf, Willem
6
2009
Constructing representations of split semisimple Lie algebras. Zbl 1006.17001
de Graaf, W. A.
6
2001
Computation with linear algebraic groups. Zbl 06690823
de Graaf, Willem Adriaan
5
2017
Constructing arithmetic subgroups of unipotent groups. Zbl 1229.20044
de Graaf, Willem A.; Pavan, Andrea
5
2009
Constructing faithful representations of finitely-generated torsion-free nilpotent groups. Zbl 1021.20006
de Graaf, Willem A.; Nickel, Werner
5
2002
Finding splitting elements and maximal tori in matrix algebras. Zbl 1009.16047
de Graaf, Willem A.; Ivanyos, Gábor
4
2000
Constructing faithful matrix representations of Lie algebras. Zbl 0957.17001
de Graaf, W. A.
4
1997
An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations. Zbl 1317.17011
de Graaf, W. A.; Vinberg, E. B.; Yakimova, O. S.
3
2012
Constructing algebraic groups from their Lie algebras. Zbl 1180.20038
de Graaf, Willem A.
3
2009
Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition. II. Zbl 1189.17002
Cicalò, Serena; de Graaf, Willem A.
3
2009
Computing Levi decompositions in Lie algebras. Zbl 0885.17001
De Graaf, W. A.; Ivanyos, G.; Küronya, A.; Rónyai, L.
3
1997
Lie algebraic computation. Zbl 0922.17003
Cohen, A. M.; de Graaf, W. A.
3
1996
Nilpotent orbits in real symmetric pairs and stationary black holes. Zbl 1371.83177
Dietrich, Heiko; De Graaf, Willem A.; Ruggeri, Daniele; Trigiante, Mario
2
2017
Constructing semisimple subalgebras of real semisimple Lie algebras. Zbl 1367.17008
Faccin, Paolo; de Graaf, Willem A.
2
2015
Integrality and arithmeticity of solvable linear groups. Zbl 1309.20044
Detinko, A. S.; Flannery, D. L.; de Graaf, W. A.
2
2015
Regular subalgebras and nilpotent orbits of real graded Lie algebras. Zbl 1332.17002
Dietrich, Heiko; Faccin, Paolo; de Graaf, Willem A.
2
2015
A GAP package for computing with real semisimple Lie algebras. Zbl 1304.17001
Dietrich, Heiko; Faccin, Paolo; de Graaf, Willem A.
2
2014
A computational approach to the Kostant-Sekiguchi correspondence. Zbl 1290.17006
Dietrich, Heiko; de Graaf, Willem A.
2
2013
Parametrizing del Pezzo surfaces of degree 8 using Lie algebras. Zbl 1166.14037
de Graaf, Willem A.; Pílniková, Jana; Schicho, Josef
2
2009
Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras. Zbl 1222.11122
Fieker, Claus; de Graaf, Willem A.
2
2007
Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition. Zbl 1189.17001
Cicalò, Serena; de Graaf, Willem
2
2007
Good index behaviour of \(\theta \)-representations. I. Zbl 1259.14049
de Graaf, Willem A.; Yakimova, Oksana S.
1
2012
Constructing homomorphisms between Verma modules. Zbl 1064.17004
de Graaf, Willem A.
1
2005
An algorithm to compute the canonical basis of an irreducible module over a quantized enveloping algebra. Zbl 1067.17001
de Graaf, Willem A.
1
2003
Constructing canonical bases of quantized enveloping algebras. Zbl 1116.17304
de Graaf, Willem A.
1
2002
Computing with quantized enveloping algebras: PBW-type bases, highest-weight modules and \(R\)-matrices. Zbl 1032.17024
de Graaf, W. A.
1
2001
Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras. Zbl 0922.17002
de Graaf, W. A.
1
1999
Computations in finite-dimensional Lie algebras. Zbl 0930.17002
Cohen, A. M.; de Graaf, W. A.; Rónyai, L.
1
1997
An algorithm for the decomposition of semisimple Lie algebras. Zbl 0952.17001
de Graaf, W. A.
1
1997
Calculating the structure of a semisimple Lie algebra. Zbl 0885.17002
De Graaf, W. A.
1
1997
Algorithms for finite-dimensional Lie algebras. Zbl 0876.17001
De Graaf, Willem A.
1
1997
Classification of nilpotent associative algebras of small dimension. Zbl 1416.16052
De Graaf, Willem A.
20
2018
Computation with linear algebraic groups. Zbl 06690823
de Graaf, Willem Adriaan
5
2017
Nilpotent orbits in real symmetric pairs and stationary black holes. Zbl 1371.83177
Dietrich, Heiko; De Graaf, Willem A.; Ruggeri, Daniele; Trigiante, Mario
2
2017
Constructing semisimple subalgebras of real semisimple Lie algebras. Zbl 1367.17008
Faccin, Paolo; de Graaf, Willem A.
2
2015
Integrality and arithmeticity of solvable linear groups. Zbl 1309.20044
Detinko, A. S.; Flannery, D. L.; de Graaf, W. A.
2
2015
Regular subalgebras and nilpotent orbits of real graded Lie algebras. Zbl 1332.17002
Dietrich, Heiko; Faccin, Paolo; de Graaf, Willem A.
2
2015
A GAP package for computing with real semisimple Lie algebras. Zbl 1304.17001
Dietrich, Heiko; Faccin, Paolo; de Graaf, Willem A.
2
2014
Classification of Novikov algebras. Zbl 1301.17023
Burde, Dietrich; de Graaf, Willem
15
2013
Computing with real Lie algebras: real forms, Cartan decompositions, and Cartan subalgebras. Zbl 1332.17001
Dietrich, Heiko; Faccin, Paolo; de Graaf, Willem A.
6
2013
Computing generators of the unit group of an integral Abelian group ring. Zbl 1271.16038
Faccin, Paolo; de Graaf, Willem A.; Plesken, Wilhelm
6
2013
A computational approach to the Kostant-Sekiguchi correspondence. Zbl 1290.17006
Dietrich, Heiko; de Graaf, Willem A.
2
2013
Six-dimensional nilpotent Lie algebras. Zbl 1250.17017
Cicalò, Serena; de Graaf, Willem A.; Schneider, Csaba
39
2012
An effective version of the Lazard correspondence. Zbl 1254.20032
Cicalò, Serena; De Graaf, Willem A.; Vaughan-Lee, Michael
6
2012
An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations. Zbl 1317.17011
de Graaf, W. A.; Vinberg, E. B.; Yakimova, O. S.
3
2012
Good index behaviour of \(\theta \)-representations. I. Zbl 1259.14049
de Graaf, Willem A.; Yakimova, Oksana S.
1
2012
Constructing semisimple subalgebras of semisimple Lie algebras. Zbl 1255.17007
de Graaf, Willem A.
13
2011
Computing representatives of nilpotent orbits of \(\theta\)-groups. Zbl 1222.17002
de Graaf, Willem A.
7
2011
Induced nilpotent orbits of the simple Lie algebras of exceptional type. Zbl 1241.17007
de Graaf, Willem A.; Elashvili, Alexander
7
2009
Computing faithful representations for nilpotent Lie algebras. Zbl 1188.17007
Burde, Dietrich; Eick, Bettina; de Graaf, Willem
6
2009
Constructing arithmetic subgroups of unipotent groups. Zbl 1229.20044
de Graaf, Willem A.; Pavan, Andrea
5
2009
Constructing algebraic groups from their Lie algebras. Zbl 1180.20038
de Graaf, Willem A.
3
2009
Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition. II. Zbl 1189.17002
Cicalò, Serena; de Graaf, Willem A.
3
2009
Parametrizing del Pezzo surfaces of degree 8 using Lie algebras. Zbl 1166.14037
de Graaf, Willem A.; Pílniková, Jana; Schicho, Josef
2
2009
Computing with nilpotent orbits in simple Lie algebras of exceptional type. Zbl 1222.17003
de Graaf, Willem A.
16
2008
Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2. Zbl 1137.17012
de Graaf, Willem A.
61
2007
Secant dimensions of minimal orbits: computations and conjectures. Zbl 1162.14038
Baur, Karin; Draisma, Jan; de Graaf, Willem A.
13
2007
Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras. Zbl 1222.11122
Fieker, Claus; de Graaf, Willem A.
2
2007
Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition. Zbl 1189.17001
Cicalò, Serena; de Graaf, Willem
2
2007
A Lie algebra method for rational parametrization of Severi-Brauer surfaces. Zbl 1101.14052
de Graaf, Willem A.; Harrison, Michael; Pílniková, Jana; Schicho, Josef
12
2006
Classification of solvable Lie algebras. Zbl 1173.17300
de Graaf, W. A.
39
2005
Constructing homomorphisms between Verma modules. Zbl 1064.17004
de Graaf, Willem A.
1
2005
An algorithm to compute the canonical basis of an irreducible module over a quantized enveloping algebra. Zbl 1067.17001
de Graaf, Willem A.
1
2003
Constructing faithful representations of finitely-generated torsion-free nilpotent groups. Zbl 1021.20006
de Graaf, Willem A.; Nickel, Werner
5
2002
Constructing canonical bases of quantized enveloping algebras. Zbl 1116.17304
de Graaf, Willem A.
1
2002
Constructing representations of split semisimple Lie algebras. Zbl 1006.17001
de Graaf, W. A.
6
2001
Computing with quantized enveloping algebras: PBW-type bases, highest-weight modules and \(R\)-matrices. Zbl 1032.17024
de Graaf, W. A.
1
2001
Lie algebras: theory and algorithms. Zbl 1122.17300
de Graaf, Willem A.
50
2000
Finding splitting elements and maximal tori in matrix algebras. Zbl 1009.16047
de Graaf, Willem A.; Ivanyos, Gábor
4
2000
Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras. Zbl 0922.17002
de Graaf, W. A.
1
1999
Constructing faithful matrix representations of Lie algebras. Zbl 0957.17001
de Graaf, W. A.
4
1997
Computing Levi decompositions in Lie algebras. Zbl 0885.17001
De Graaf, W. A.; Ivanyos, G.; Küronya, A.; Rónyai, L.
3
1997
Computations in finite-dimensional Lie algebras. Zbl 0930.17002
Cohen, A. M.; de Graaf, W. A.; Rónyai, L.
1
1997
An algorithm for the decomposition of semisimple Lie algebras. Zbl 0952.17001
de Graaf, W. A.
1
1997
Calculating the structure of a semisimple Lie algebra. Zbl 0885.17002
De Graaf, W. A.
1
1997
Algorithms for finite-dimensional Lie algebras. Zbl 0876.17001
De Graaf, Willem A.
1
1997
Computing Cartan subalgebras of Lie algebras. Zbl 0883.17001
De Graaf, Willem; Ivanyos, Gábor; Rónyai, Lajos
11
1996
Lie algebraic computation. Zbl 0922.17003
Cohen, A. M.; de Graaf, W. A.
3
1996
all top 5

Cited by 395 Authors

31 de Graaf, Willem Adriaan
14 Kaĭgorodov, Ivan B.
10 Ivanyos, Gábor
9 Douglas, Andrew S.
9 Niroomand, Peyman
8 Abdelwahab, Hani
8 Burde, Dietrich
8 Repka, Joe
8 Saeedi, Farshid
7 Eick, Bettina
7 Yakimova, Oksana S.
6 Cohen, Arjeh Marcel
6 Johari, Farangis
5 Abo, Hirotachi
5 Detinko, Alla S.
5 González-Sánchez, Jon
5 Hegazi, Ahmed Sadek
5 Militaru, Gigel
5 Parvizi, Mohsen
5 Qiao, Youming
5 Schicho, Josef
4 Agore, Ana-Loredana
4 Bernardi, Alessandra
4 Calderón Martín, Antonio Jesús
4 Flannery, Dane Laurence
4 Karimjanov, Ikboljon Abdulazizovich
4 Núñez-Valdés, Juan
4 Schneider, Csaba
3 Cicalò, Serena
3 Darabi, Hamid
3 Dietrich, Heiko
3 Draisma, Jan
3 Elgendy, Hader A.
3 Faccin, Paolo
3 Falcón Ganfornina, Óscar Jesús
3 Falcón Ganfornina, Raúl Manuel
3 Joseph, Anthony
3 Khrypchenko, Mykola S.
3 Khudoyberdiyev, Abror Kh.
3 Ladra González, Manuel
3 Pílniková, Jana
3 Rojas, Nadina Elizabeth
3 Rónyai, Lajos
3 Rossmann, Tobias
3 Sheikh-Mohseni, Sedigheh
3 Subrahmanyam, K. Venkata
3 Usefi, Hamid
2 Ali, Sajid
2 Artemovych, Orest Dem”yanovych
2 Azad, Hassan
2 Bagarello, Fabio
2 Biswas, Indranil
2 Blackmore, Denis L.
2 Bokut, Leonid A.
2 Boucetta, Mohamed
2 Brambilla, Maria Chiara
2 Bravi, Paolo
2 Bremner, Murray R.
2 Cagliero, Leandro
2 Cairns, Grant
2 Calderón, Antonio Jesús
2 Camacho, Luisa Maria
2 Cavallin, Mikaël
2 Dekimpe, Karel
2 Díaz Ramos, Antonio
2 Eshrati, Mehdi
2 Falcone, Giovanni
2 Fernández Ouaridi, Amir
2 Figula, Ágota
2 Fino, Anna
2 Fisher, Tom A.
2 Fu, Baohua
2 Gandini, Jacopo
2 Garaialde Ocaña, Oihana
2 Gorshkov, Il’ya Borisovich
2 Harrison, Michael C.
2 Hinić-Galić, Ana
2 Karpinski, Marek
2 Kutas, Péter
2 Levy, Paul D.
2 Lopes, Samuel A.
2 Moede, Tobias
2 Mourrain, Bernard
2 Murray, Scott H.
2 Nickel, Werner
2 Nikolayevsky, Yuri
2 Pacheco, Ana María
2 Páez-Guillán, Pilar
2 Panyushev, Dmitri Ivanovich
2 Polo-Blanco, Irene
2 Premet, Alexander A.
2 Prykarpatsky, Anatoliy Karolevych
2 Qureshi, Muhammad Imran
2 Roozemond, Dan
2 Russo, Francesco Giuseppe
2 Ryba, Alexander J. E.
2 Salim, Mohamed Ahmed M.
2 Shamsaki, Afsaneh
2 Shpakivskyi, Vitalii Stanislavovich
2 Strachan, Ian A. B.
...and 295 more Authors
all top 5

Cited in 101 Serials

44 Journal of Algebra
21 Journal of Symbolic Computation
17 Communications in Algebra
14 Journal of Pure and Applied Algebra
12 Linear Algebra and its Applications
12 Journal of Algebra and its Applications
10 Journal of Geometry and Physics
9 Transformation Groups
8 Linear and Multilinear Algebra
7 Mathematics of Computation
5 Advances in Mathematics
4 Journal of Mathematical Physics
4 Transactions of the American Mathematical Society
4 International Journal of Algebra and Computation
4 Journal of Mathematical Sciences (New York)
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Annals of Global Analysis and Geometry
3 Differential Geometry and its Applications
3 Representation Theory
3 Algebras and Representation Theory
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Asian-European Journal of Mathematics
3 Groups, Complexity, Cryptology
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Czechoslovak Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Forum Mathematicum
2 Applicable Algebra in Engineering, Communication and Computing
2 Computational Complexity
2 Experimental Mathematics
2 Journal of Lie Theory
2 Communications in Contemporary Mathematics
2 Journal of High Energy Physics
2 Journal of Nonlinear Mathematical Physics
2 Foundations of Computational Mathematics
2 Central European Journal of Mathematics
2 Mathematics
1 Computer Physics Communications
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Collectanea Mathematica
1 Compositio Mathematica
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of Geometry
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematica Scandinavica
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Computing
1 Studies in Applied Mathematics
1 Theoretical Computer Science
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the Moscow Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Information and Computation
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Expositiones Mathematicae
1 Journal of Algebraic Geometry
1 Advances in Applied Clifford Algebras
1 Arab Journal of Mathematical Sciences
1 European Journal of Control
1 Abstract and Applied Analysis
1 Journal of Group Theory
1 LMS Journal of Computation and Mathematics
1 Journal of Dynamical and Control Systems
1 Journal of Systems Science and Complexity
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 JP Journal of Algebra, Number Theory and Applications
1 Journal of the Institute of Mathematics of Jussieu
1 Mediterranean Journal of Mathematics
1 International Journal of Number Theory
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Frontiers of Mathematics in China
1 Groups, Geometry, and Dynamics
1 Kyoto Journal of Mathematics
1 Symmetry
1 Afrika Matematika
1 Iranian Journal of Mathematical Sciences and Informatics
1 Communications in Mathematics
1 International Journal of Applied and Computational Mathematics
1 Complex Manifolds
1 Algebraic Structures and their Applications
1 Journal of Siberian Federal University. Mathematics & Physics
...and 1 more Serials
all top 5

Cited in 40 Fields

182 Nonassociative rings and algebras (17-XX)
51 Group theory and generalizations (20-XX)
42 Algebraic geometry (14-XX)
37 Associative rings and algebras (16-XX)
34 Computer science (68-XX)
28 Differential geometry (53-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
21 Topological groups, Lie groups (22-XX)
20 Commutative algebra (13-XX)
16 Number theory (11-XX)
9 Partial differential equations (35-XX)
8 Quantum theory (81-XX)
6 Combinatorics (05-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Field theory and polynomials (12-XX)
4 Convex and discrete geometry (52-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Algebraic topology (55-XX)
3 Numerical analysis (65-XX)
2 General algebraic systems (08-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Functional analysis (46-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year