Produzione Scientifica Willem Adriaan De Graaf


  • W.A. de Graaf, E.B. Vinberg, O.S. Yakimova, "An effective method to compute closure ordering for nilpotent orbits of θ-representations" in JOURNAL OF ALGEBRA, v. 371, (2012), p. 38-62. - DOI: 10.1016/j.jalgebra.2012.07.040 - vedi dettaglio
  • S. Cicalò, W. A. de Graaf, M. Vaughan-lee, "An effective version of the Lazard correspondence" in JOURNAL OF ALGEBRA, v. 352, (2012), p. 430-450. - DOI: 10.1016/j.jalgebra.2011.11.031 - vedi dettaglio
  • W.A. de Graaf, O.S. Yakimova, "Good Index Behaviour of θ-Representations, I" in ALGEBRAS AND REPRESENTATION THEORY, v. 15, n. 4 (2012), p. 613-638. - DOI: 10.1007/s10468-010-9256-0 - vedi dettaglio
  • S. Cicalò, W. A. de Graaf, C. Schneider, "Six-dimensional nilpotent Lie algebras" in LINEAR ALGEBRA AND ITS APPLICATIONS, v. 436, n. 1 (2012), p. 163-189. - DOI: 10.1016/j.laa.2011.06.037 - vedi dettaglio
  • L. Fortunato, W. A. de Graaf, "Angular momentum non-conserving symmetries in bosonic models" in JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, v. 44, (2011), p. 145206-1-145206-12. - DOI: 10.1088/1751-8113/44/14/145206 - vedi dettaglio
  • W. A. de Graaf, "Computing representatives of nilpotent orbits of theta-groups" in JOURNAL OF SYMBOLIC COMPUTATION, v. 46, n. 4 (2011), p. 438-458. - DOI: 10.1016/j.jsc.2010.10.015 - vedi dettaglio
  • W. A. de Graaf, "Constructing semisimple subalgebras of semisimple Lie algebras" in JOURNAL OF ALGEBRA, v. 325, n. 1 (2011), p. 416-430. - DOI: 10.1016/j.jalgebra.2010.10.021 - vedi dettaglio
  • D. Burde, B. Eick, W. De Graaf, "Computing faithful representations for nilpotent Lie algebras" in JOURNAL OF ALGEBRA, v. 322, n. 3 (2009), p. 602-612 - vedi dettaglio
  • W. De Graaf, "Constructing algebraic groups from their Lie algebras" in JOURNAL OF SYMBOLIC COMPUTATION, v. 44, n. 9 (2009), p. 1223-1233 - vedi dettaglio
  • W. De Graaf, A. Pavan, "Constructing arithmetic subgroups of unipotent groups" in JOURNAL OF ALGEBRA, v. 322, n. 11 (2009), p. 3950-3970 - vedi dettaglio
  • W. De Graaf, A. Elashvili, "Induced nilpotent orbits of the simple Lie algebras of exceptional type" in GEORGIAN MATHEMATICAL JOURNAL, v. 16, n. 2 (2009), p. 257-278 - vedi dettaglio
  • S. Cicalò, W. De Graaf, "Non-associative Gröbner bases, finitely-presented Lie rings, and the Engel condition II" in JOURNAL OF SYMBOLIC COMPUTATION, v. 44, n. 7 (2009), p. 786-800 - vedi dettaglio
  • W. A. de Graaf, J. Pilnikova, J. Schicho, "Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras" in JOURNAL OF SYMBOLIC COMPUTATION, v. 44, n. 1 (2009), p. 1-14 - vedi dettaglio
  • W. De Graaf, "Computing with nilpotent orbits in simple Lie algebras of exceptional type" in LMS JOURNAL OF COMPUTATION AND MATHEMATICS, v. 11, (2008), p. 280-297 - vedi dettaglio
  • W. De Graaf, "Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2" in JOURNAL OF ALGEBRA, v. 309, n. 2 (2007), p. 640-653 - vedi dettaglio
  • W. De Graaf, C. Fieker, "Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras" in LMS JOURNAL OF COMPUTATION AND MATHEMATICS, v. 10, (2007), p. 271-287 - vedi dettaglio
  • S. Cicalò, W. De Graaf, "Non-associative Gröbner bases, finitely-presented Lie rings, and the Engel condition" in Symbolic and algebraic computation: international symposium: proceedings, New York, N.Y.: ACM, 2007, p. 100-107. - ISBN: 978-1-59593-743-8. Atti di: ISSAC 2007, Waterloo, Ontario, July 28 - August 1, 2007 - vedi dettaglio
  • K. Baur, J. Draisma, W. De Graaf, "Secant dimensions of minimal orbits: computations and conjectures" in EXPERIMENTAL MATHEMATICS, v. 16, n. 2 (2007), p. 239-250 - vedi dettaglio
  • W. De Graaf, M. Harrison, J. Pilnikova, J. Schicho, "A Lie algebra method for rational parametrization of Severi-Brauer surfaces" in JOURNAL OF ALGEBRA, v. 303, n. 2 (2006), p. 514-529 - vedi dettaglio
  • W. De Graaf, "Classification of solvable Lie algebras" in EXPERIMENTAL MATHEMATICS, v. 14, n. 1 (2005), p. 15-25 - vedi dettaglio
  • W. De Graaf, "Constructing homomorphisms between Verma modules" in JOURNAL OF LIE THEORY, v. 15, n. 2 (2005), p. 415-428 - vedi dettaglio
  • W. De Graaf, "Five constructions of representations of quantum groups" in NOTE DI MATEMATICA, v. 22, (2003), p. 27-48 - vedi dettaglio
  • W. De Graaf, "Constructing canonical bases of quantized enveloping algebras" in EXPERIMENTAL MATHEMATICS, v. 11, (2002), p. 161-170 - vedi dettaglio
  • W. De Graaf, W. Nickel, "Constructing faithful representations of finitely-generated torsion-free nilpotent groups" in JOURNAL OF SYMBOLIC COMPUTATION, v. 33, (2002), p. 31-41 - vedi dettaglio
  • W. De Graaf, "Computing with quantized enveloping algebras: PBW-type bases, highest-weight modules, R-matrices," in JOURNAL OF SYMBOLIC COMPUTATION, v. 32, (2001), p. 475-490 - vedi dettaglio
  • W. De Graaf, "Constructing representations of split semisimple Lie algebras" in JOURNAL OF PURE AND APPLIED ALGEBRA, v. 164, (2001), p. 87-107 - vedi dettaglio
  • W. De Graaf, Lie Algebras: Theory and Algorithms, Amsterdam: Elsevier, 2000. - ISBN: 9780444501165 - vedi dettaglio
  • W. A. De Graaf, J. Wisliceny, "Constructing bases of finitely presented Lie algebras using Groebner bases in free algebras" in Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation: ISSAC'99, New York: ACM Press, 1999, p. 37-43. Atti di: ISSAC, Vancouver, 29-31 - 7 -1999 - vedi dettaglio
  • W.A. de Graaf, "Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras" in JOURNAL OF PURE AND APPLIED ALGEBRA, v. 139, (1999), p. 25-39. - DOI: 10.1016/S0022-4049(99)00007-9 - vedi dettaglio
  • W.A. de Graaf, "An algorithm for the decomposition of semisimple Lie algebras" in THEORETICAL COMPUTER SCIENCE, v. 187, (1997), p. 117-122. - DOI: 10.1016/S0304-3975(97)00060-1 - vedi dettaglio
  • W.A. de Graaf, "Calculating the structure of a semisimple Lie algebra" in JOURNAL OF PURE AND APPLIED ALGEBRA, v. 117-118, (1997), p. 319-329. - DOI: 10.1016/S0022-4049(97)00016-9 - vedi dettaglio
  • W. A. de Graaf, G. Ivanyos, A. Kü ronya, L. Ró nyai, "Computing Levi Decompositions in Lie algebras" in APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, v. 8, (1997), p. 291-303. - DOI: 10.1007/s002000050066 - vedi dettaglio
  • Willem Adriaan De Graaf, Gábor Ivanyos, Lajos Rónyai, "Computing Cartan subalgebras of Lie algebras" in APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, v. 7, (1996), p. 339-349. - DOI: 10.1007/BF01293593 - vedi dettaglio