Research Explorer

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Researcher

Tom De Medts

Publications & Research Data

Awards & Distinctions

65 Results

2025

5×5-graded Lie algebras, cubic norm structures and quadrangular algebras

Tom De MedtsJeroen Meulewaeter

U Journal Article in Forum of Mathematics, Sigma

Non-associative aspects of algebraic groups

Jari DesmetTom De Medts

Operator Kantor pairs

Sigiswald BarbierTom De MedtsMichiel Smet

A1 Journal Article in JOURNAL OF ALGEBRA

2024

City products of right-angled buildings and their universal groups

Jens BossaertTom De Medts

A1 Journal Article in JOURNAL OF ALGEBRA

Inner ideals and structurable algebras : Moufang sets, triangles and hexagons

Tom De MedtsJeroen Meulewaeter

A1 Journal Article in ISRAEL JOURNAL OF MATHEMATICS

Matsuo algebras in characteristic 2

Tom De MedtsMathias Stout

A1 Journal Article in JOURNAL OF ALGEBRA

Primitive 4-generated axial algebras of Jordan type

Tom De MedtsLouis RowenYoav Segev

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

2023

Algebro-geometric algorithms for program synthesis, tensor networks, and conditional independence models

Harshit Jitendra MotwaniTom De Medts

Restricted universal groups for right-angled buildings

Jens BossaertTom De Medts

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY

2022

Cohomological invariants of structurable algebras

Simon RigbyTom De MedtsHendrik Van Maldeghem

2021

Bridging exceptional geometries and algebras using inner ideals of Lie algebras

Jeroen MeulewaeterTom De MedtsHendrik Van Maldeghem

Expanding the universe of (restricted) universal groups over right-angled buildings

Jens BossaertTom De MedtsHendrik Van Maldeghem

Non-associative Frobenius algebras for simply laced Chevalley groups

Tom De MedtsMichiel Van Couwenberghe

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Topological and algebraic properties of universal groups for right-angled buildings

Jens BossaertTom De Medts

A1 Journal Article in FORUM MATHEMATICUM

2020

Decomposition algebras and axial algebras

Tom De MedtsSimon F. PeacockSergey ShpectorovMichiel Van Couwenberghe

A1 Journal Article in JOURNAL OF ALGEBRA

Decomposition algebras and axial algebras

Michiel Van CouwenbergheTom De MedtsHendrik Van Maldeghem

Modules over axial algebras

Tom De MedtsMichiel Van Couwenberghe

A1 Journal Article in ALGEBRAS AND REPRESENTATION THEORY

2019

Geometries from structurable algebras and inner ideals

Jeroen Meulewaeter

Mini-workshop : rank one groups and exceptional algebraic groups

Tom De MedtsBernhard MühlherrAnastasia Stravrora

Moufang sets and structurable division algebras

Lien BoelaertTom De MedtsAnastasia Stavrova

A1 Journal Article in MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Open subgroups of the automorphism group of a right-angled building

Tom De MedtsAna Filipa Costa da Silva

A1 Journal Article in GEOMETRIAE DEDICATA

Structurable algebras of skew-dimension one and hermitian cubic norm structures

A1 Journal Article in COMMUNICATIONS IN ALGEBRA

The tensor product of two octonion algebras and its structure group

Tits polygons : a geometric point of view

Hendrik Van Maldeghem

2018

Universal groups for right-angled buildings

Tom De MedtsAna Filipa Costa da SilvaKoen Struyve

A1 Journal Article in GROUPS GEOMETRY AND DYNAMICS

2017

Jordan algebras and 3-transposition groups

Tom De MedtsFelix Rehren

A1 Journal Article in JOURNAL OF ALGEBRA

Local Moufang sets

Erik RijckenTom De Medts

Local Moufang sets and local Jordan pairs

Tom De MedtsErik Rijcken

A1 Journal Article in JOURNAL OF ALGEBRA

The hunt for mixed octonion algebras

Karsten NaertTom De Medts

Tits endomorphisms and buildings of type F4

Tom De MedtsYoav SegevRichard Weiss

A1 Journal Article in ANNALES DE L' INSTITUT FOURIER

Universal groups for right-angled buildings

Ana Filipa Costa da SilvaTom De Medts

2016

Local Moufang sets and PSL2 over a local ring

Tom De MedtsErik Rijcken

A1 Journal Article in JOURNAL OF GROUP THEORY

2015

A new construction of Moufang quadrangles of type E6, E7 and E8

Lien BoelaertTom De Medts

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Moufang sets of mixed type F4

Elizabeth CallensTom De Medts

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

2014

Moufang sets arising from polarities of Moufang planes over octonion division algebras

Elizabeth CallensTom De Medts

A1 Journal Article in MANUSCRIPTA MATHEMATICA

2013

Exceptional Moufang quadrangles and structurable algebras

Lien BoelaertTom De Medts

A1 Journal Article in PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

Moufang sets: polarities, mixed Moufang sets and inclusions

Elizabeth CallensTom De MedtsHendrik Van Maldeghem

Perfect numbers and finite groups

Tom De MedtsAttila Maróti

A1 Journal Article in RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA

Trees, contraction groups, and Moufang sets

Pierre-Emmanuel CapraceTom De Medts

A1 Journal Article in DUKE MATHEMATICAL JOURNAL

2011

Pseudocomplementation in (normal) subgroup lattices

Tom De MedtsMarius Tărnăuceanu

A1 Journal Article in COMMUNICATIONS IN ALGEBRA

Simple locally compact groups acting on trees and their germs of automorphisms

Pierre-Emmanuel CapraceTom De Medts

A1 Journal Article in TRANSFORMATION GROUPS

2010

Moufang sets of type F-4

Tom De MedtsHendrik Van Maldeghem

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

The norm of a ree group

Tom De MedtsRichard Weiss

A1 Journal Article in NAGOYA MATHEMATICAL JOURNAL

2009

A course on Moufang sets

Tom De MedtsYoav Segev

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY

Central extensions of rank 2 groups and applications

Tom De MedtsKatrin Tent

A1 Journal Article in Forum Mathematicum

Iwasawa decompositions of split Kac-Moody groups

Tom De MedtsRalf GramlichMax Horn

A1 Journal Article in JOURNAL OF LIE THEORY

Point-line spaces related to Jordan pairs

Simon HuggenbergerTom De MedtsBernhard Müllherr

The uniqueness of a generalized hexagon of order 3 containing a subhexagon of order (1,3)

Tom De MedtsHendrik Van Maldeghem

A1 Journal Article in Discrete Mathematics

2008

Finite groups determined by an inequality of the orders of their subgroups

Tom De MedtsMarius Tarnauceanu

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

Finite special Moufang sets of even characteristic

Tom De MedtsY Segev

A1 Journal Article in COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Identities in Moufang sets

Tom De MedtsY Segev

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Special abelian Moufang sets of finite Morley rank

Tom De MedtsKatrin Tent

A1 Journal Article in Journal of Group Theory

Special Moufang sets, their root groups and their mu-maps

Tom De MedtsY SegevK Tent

A1 Journal Article in PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

2006

Moufang sets and jordan division algebras

Tom De MedtsRM Weiss

A1 Journal Article in MATHEMATISCHE ANNALEN

On the uniqueness of the unipotent subgroups of some Moufang sets

Tom De MedtsFabienne HaotR KnopHendrik Van Maldeghem

Bookchapter in Finite Geometries, Groups, and Computation

2005

A link between Moufang sets and Jordan division algebras

Algebraic inclusions of Moufang polygons

A1 Journal Article in FORUM MATHEMATICUM

An algebraic structure for moufang quadrangles

A1 Journal Article in MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Inclusions of irreducible spherical buildings of equal rank >= 3

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

Split BN-pairs of rank at least 2 and the uniqueness of splittings

Tom De MedtsFabienne HaotK TentHendrik Van Maldeghem

A1 Journal Article in JOURNAL OF GROUP THEORY

2004

Automorphisms of F-4 quadrangles

A1 Journal Article in MATHEMATISCHE ANNALEN

2003

Moufang generalized polygons

Tom De MedtsHendrik Van Maldeghem

Bookchapter in Quaderni di Matematica

Moufang quadrangles : a unifying algebraic structure, and some results on exceptional quadrangles

Tom De MedtsHendrik Van MaldeghemR. Weiss

2002

A characterization of quadratic forms of type E-6, E-7, and E-8.

A1 Journal Article in JOURNAL OF ALGEBRA