The \(E_8\) geometry from a Clifford perspective

DOI10.1007/s00006-016-0675-9zbMath1368.52006arXiv1603.04805OpenAlexW3104352302WikidataQ59615031 ScholiaQ59615031MaRDI QIDQ2361044

Pierre-Philippe Dechant

Publication date: 29 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04805

zbMATH Keywords

Coxeter groupsLie groupsquantum algebrasspinorsClifford algebrasLie algebrasrepresentation theoryicosahedral symmetryroot systemsMcKay correspondenceCoxeter plane\(E_8\)exceptional phenomenatrinities

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Three-dimensional polytopes (52B10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Clifford algebras, spinors (15A66) Symmetry properties of polytopes (52B15) McKay correspondence (14E16) Root systems (17B22)

Related Items (4)

Simple transitive 2-representations of small quotients of Soergel bimodules ⋮ From the Trinity ( A ₃ , B ₃ , H ₃ ) to an ADE correspondence ⋮ Clifford spinors and root system induction: \(H_4\) and the grand antiprism ⋮ New applications of Clifford's geometric algebra

Uses Software

• CLUCalc

Cites Work

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