News

1 May 2013: my paper with Kuhnt and Zwiernik on groups acting on Gaussian graphical models has just been accepted for Annals of Statistics.

Spring 2013: Robert Krone from GeorgiaTech is visiting for three months. Together with Anton Leykin and Rob Eggermont we aim to prove finiteness-up-to-symmetry results for certain infinite-dimensional toric varieties.

15 October 2012: the website of the CIME/CIRM course Combinatorial Algebraic Geometry, taking place from 10-15 June 2013 in Levico Terme, is up. Check it out!

1 September 2012: Emil Horobeţ from Babes-Bolyai university joins the group on the project Tensors of Bounded Rank.

23 January 2012: Tensors of Bounded Rank, an NWO free competition Ph.D. project proposal together with Monique Laurent and Siep Weiland has been awarded funding!

23 January 2012: Piotr Zwiernik is starting a Post-doc in the Vidi project.

1 September 2011: Rob Eggermont started his Ph.D. in the Vidi project.

2 March 2011: a manuscript with Johan P. de Jong on his Bachelor's project has been accepted for publication in the EMS Newsletter. See this page.

6 October 2010: A Vidi grant! See this page or this page or this page.

Programs for Lie algebras and algebraic groups

UEA

By Willem de Graaf. Variation on UniversalEnvelopingAlgebra in GAP, which takes a basis of the Lie algebra as a parameter.

WeylAlgebra

Weyl Algebras in GAP, another minor variation on de Graaf's UniversalEnvelopingAlgebra.

Blattner

Explicit realization of Lie algebras by vector fields, in GAP; requires UEA and WeylAlg. See this paper for an explanation of the algorithm and its usage.

maximal_subalgebras

Finds all reductive maximal subalgebras of a classical complex Lie algebra, and the corresponding restriction matrices; written in LiE.

SeDiMO v. 3

Computes, using a randomised algorithm, the secant dimensions of minimal orbits. Written in GAP together with Karin Baur and Willem de Graaf. Unzip and untar the archive using
tar xzvf sedimov3.tar.gz
This will create a directory sedimov3; read the files README and sedimo.d for information on the usage.