h-graded-groups

GAP code which accompanies the paper "Root graded groups of type H_3 and H_4" by Lennart Berg and Torben Wiedemann.

https://github.com/twiedemann/h-graded-groups

Science Score: 57.0%

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CITATION.cff file
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Low similarity (4.0%) to scientific vocabulary

Keywords

computer-algebra gap lie-theory math mathematics maths

Last synced: 4 months ago · JSON representation ·

Repository

GAP code which accompanies the paper "Root graded groups of type H_3 and H_4" by Lennart Berg and Torben Wiedemann.

Basic Info

Host: GitHub
Owner: TWiedemann
License: mit
Language: TeX
Default Branch: main
Homepage: https://arxiv.org/abs/2408.06745
Size: 255 KB

Statistics

Stars: 0
Watchers: 2
Forks: 0
Open Issues: 0
Releases: 4

Topics

computer-algebra gap lie-theory math mathematics maths

Created over 1 year ago · Last pushed 6 months ago

Metadata Files

Readme License Citation

The GAP (4.14.0) code in this repository contains several computations that verify claims in the paper "Root graded groups of type $H3$ and $H4$" (https://doi.org/10.1016/j.jalgebra.2025.06.007) by Lennart Berg and Torben Wiedemann. We refer to this paper by [BW] in the code. 1. The folder Blueprint computations contains the code for the blueprint computations (see [BW, Sections 8 and 9]) and the results of these computations (in tex, pdf and txt format). 2. The folder Auxiliary computations contains all remaining computations for various claims in [BW]. In particular, it contains: (a) The realisation of the root systems $H3$ and $H4$ as foldings of $D6$ and $E8$, respectively. (b) The construction of an $H3$-graded group from a Chevalley group of type $D6$, of an $H4$-graded group from a Chevalley group of type $E8$, and computations in these groups.

Consult the readme files in the corresponding folders for more details.

Owner

Name: Torben Wiedemann
Login: TWiedemann
Kind: user
Location: Germany
Company: JLU Gießen

Repositories: 1
Profile: https://github.com/TWiedemann

Mathematician working in group theory.

Citation (CITATION.cff)

cff-version: 1.2.0
title: H-graded groups
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Torben
    family-names: Wiedemann
    orcid: 'https://orcid.org/0009-0000-7393-1074'
    affiliation: RPTU University Kaiserslautern-Landau
  - given-names: Lennart
    family-names: Berg
    affiliation: Justus Liebig University Gießen
abstract: >-
  GAP code which supports the paper "Root graded groups of
  type H_3 and H_4" by Lennart Berg and Torben Wiedemann.
license: MIT
version: v1.0.1
date-released: '2025-03-04'

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