Computing Cartan subalgebras of Lie algebras. - Willem A. de Graaf; Gábor Ivanyos; Lajos Rónyai (Appl. Algebra Eng. Commun. Comput., 1996)

Constructing Faithful Matrix Representations of Lie Algebras. - Willem A. de Graaf (ISSAC, 1997)

Computing Levi Decompositions in Lie algebras. - Willem A. de Graaf; Gábor Ivanyos; A. Küronya; Lajos Rónyai (Appl. Algebra Eng. Commun. Comput., 1997)

Computations in finite-dimensional Lie algebras. - Arjeh M. Cohen; Willem A. de Graaf; Lajos Rónyai (Discret. Math. Theor. Comput. Sci., 1997)

An Algorithm for the Decomposition of Semisimple Lie Algebras. - Willem A. de Graaf (Theor. Comput. Sci., 1997)

Constructing Bases of Finitely Presented Lie Algebras Using Gröbner Bases in Free Algebras. - Willem A. de Graaf; J. Wisliceny (ISSAC, 1999)

Computing with Quantized Enveloping Algebras: PBW-Type Bases, Highest-Weight Modules and R-Matrices. - Willem A. de Graaf (J. Symb. Comput., 2001)

Constructing Canonical Bases of Quantized Enveloping Algebras. - Willem A. de Graaf (Exp. Math., 2002)

Constructing Faithful Representations of Finitely-generated Torsion-free Nilpotent Groups. - Willem A. de Graaf; Werner Nickel (J. Symb. Comput., 2002)

An Algorithm to Compute the Canonical Basis of an Irreducible Module Over a Quantized Enveloping Algebra. - Willem A. de Graaf (LMS J. Comput. Math., 2003)

Classification of Solvable Lie Algebras. - Willem A. de Graaf (Exp. Math., 2005)

Non-associative gröbner bases, finitely-presented lie rings and the engel condition. - Serena Cicalò; Willem A. de Graaf (ISSAC, 2007)

Secant Dimensions of Minimal Orbits: Computations and Conjectures. - Karin Baur; Jan Draisma; Willem A. de Graaf (Exp. Math., 2007)

Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras. - Claus Fieker; Willem A. de Graaf (LMS J. Comput. Math., 2007)

Computing with Nilpotent Orbits in Simple Lie Algebras of Exceptional Type. - Willem A. de Graaf (LMS J. Comput. Math., 2008)

Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition, II. - Serena Cicalò; Willem A. de Graaf (J. Symb. Comput., 2009)

Constructing algebraic groups from their Lie algebras. - Willem A. de Graaf (J. Symb. Comput., 2009)

Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras. - Willem A. de Graaf; Jana Pílniková; Josef Schicho (J. Symb. Comput., 2009)

Computing representatives of nilpotent orbits of θ-groups. - Willem A. de Graaf (J. Symb. Comput., 2011)

Classification of Novikov algebras. - Dietrich Burde; Willem A. de Graaf (Appl. Algebra Eng. Commun. Comput., 2013)

Computing with real Lie algebras: Real forms, Cartan decompositions, and Cartan subalgebras. - Heiko Dietrich; Paolo Faccin; Willem A. de Graaf (J. Symb. Comput., 2013)

A GAP Package for Computing with Real Semisimple Lie Algebras. - Heiko Dietrich; Paolo Faccin; Willem A. de Graaf (ICMS, 2014)

Classifying semisimple orbits of η-groups. - Willem A. de Graaf; Francesco Oriente (Math. Comput., 2014)

Integrality and arithmeticity of solvable linear groups. - A. S. Detinko; Dane L. Flannery; Willem A. de Graaf (J. Symb. Comput., 2015)

Orbit Closures of Linear Algebraic Groups. - Willem A. de Graaf (Computer Algebra and Polynomials, 2015)

Classification of nilpotent associative algebras of small dimension. - Willem A. de Graaf (Int. J. Algebra Comput., 2018)

A constructive method for decomposing real representations. - Sajid Ali 003; Hassan Azad; Indranil Biswas; Willem A. de Graaf (J. Symb. Comput., 2021)

Computing the real Weyl group. - Heiko Dietrich; Willem A. de Graaf (J. Symb. Comput., 2021)

A computational approach to almost-inner derivations. - Heiko Dietrich; Willem A. de Graaf (J. Symb. Comput., 2024)

Computing component groups of stabilizers of nilpotent orbit representatives. - Emanuele Di Bella; Willem A. de Graaf (J. Symb. Comput., 2025)

Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces. - Maciej Bochenski; Willem A. de Graaf; Piotr Jastrzebski; Aleksy Tralle (Exp. Math., 2025)