E8lattice with icosians and Z5symmetry

DOI10.1088/0305-4470/22/19/007zbMath0722.22012OpenAlexW205604261MaRDI QIDQ3209345

Mehmet Koca

Publication date: 1989

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/22/19/007

zbMATH Keywords

maximal subgroupssymmetriesintegral octonionsicosiansE\({}_ 8\) root system

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (5)

Symmetries of the octonionic root system of E8 ⋮ Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups ⋮ SNUB 24-CELL DERIVED FROM THE COXETER–WEYL GROUP W(D₄) ⋮ Multiplication of integral octonions ⋮ Gosset polytopes in integral octonions

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