4 citations · 10 across the 13 of their papers we have counts for
16 papers
Computing the real Weyl group
Heiko Dietrich, Willem A. de Graaf
Let g be a semisimple Lie algebra over the real numbers. We describe an explicit combinatorial construction of the real Weyl group of g with respect to a given Cartan subalgebra. A…
Integrality and arithmeticity of solvable linear groups
W. A. de Graaf, A. S. Detinko, D. L. Flannery
We develop a practical algorithm to decide whether a finitely generated subgroup of a solvable algebraic group is arithmetic. This incorporates a procedure to compute a generat…
A constructive method for decomposing real representations
Sajid Ali, Hassan Azad, Indranil Biswas +1
A constructive method for decomposing finite dimensional representations of semisimple real Lie algebras is developed. The method is illustrated by an example. We also discuss an i…
Computing generators of the unit group of an integral abelian group ring
Paolo Faccin, Willem A. de Graaf, Wilhelm Plesken
We describe an algorithm for obtaining generators of the unit group of the integral group ring ZG of a finite abelian group G. We used our implementation in Magma of this algorithm…
Computations with nilpotent orbits in SLA
Willem A. de Graaf
We report on some computations with nilpotent orbits in simple Lie algebras of exceptional type within the SLA package of GAP4. Concerning reachable nilpotent orbits our computatio…
A computational approach to the Kostant-Sekiguchi correspondence
Heiko Dietrich, Willem A. de Graaf
Let g be a real form of a simple complex Lie algebra. Based on ideas of Djokovic and Vinberg, we describe an algorithm to compute representatives of the nilpotent orbits of g using…