ChevLie: constructing Lie algebras and Chevalley groups

DOI10.2140/jsag.2020.10.41zbMath1491.17001OpenAlexW3028016024WikidataQ115231012 ScholiaQ115231012MaRDI QIDQ2040892

Meinolf Geck

Publication date: 14 July 2021

Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/jsag.2020.10.41

zbMATH Keywords

Lie algebrascanonical basesweighted Dynkin diagrams

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Lie algebras of linear algebraic groups (17B45) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (1)

ChevLie

Uses Software

• GAP
• SINGULAR
• CHEVIE
• Julia
• OSCAR

Cites Work

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• The canonical basis of the quantum adjoint representation
• Quantum groups at roots of 1
• On quantum groups
• The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
• Notes on unipotent classes
• CHEVIE -- A system for computing and processing generic character tables
• Computing Green functions in small characteristic
• Julia: A Fresh Approach to Numerical Computing
• Computing in groups of Lie type
• On the construction of semisimple Lie algebras and Chevalley groups

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