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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DOI references
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Low similarity (4.0%) to scientific vocabulary

Keywords

computer-algebra gap lie-theory math mathematics maths

Last synced: 9 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 almost 2 years ago · Last pushed 11 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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