Published October 17, 2026 | Version v1

Super Weyl Groups and Coxeter Graphs for Basic Classical Lie Superalgebras — E8 Intelligence Research

Authors/Creators

  • 1. Independent Researcher, United Kingdom

Description

FINDING: The search results are a scattered collection of educational videos and a single arXiv paper; no unified "unsolvable competition problem" is solved here. The only substantive mathematical item is the arXiv paper on super Weyl groups and Coxeter graphs for basic classical Lie superalgebras. | MATH: The paper defines sequences for fundamental root systems and Coxeter graphs of super Weyl groups (quotients of Weyl groups of Lie superalgebras). Key structures: Coxeter number \(h\), Cartan matrix \(A_{ij}=2(\alpha_i,\alpha_j)/(\alpha_j,\alpha_j)\), Weyl group \(W\) generated by simple reflections \(s_i\). For super cases, the Coxeter graph is modified by odd roots, leading to generalized Cartan matrices with entries in \(\mathbb{Z}\) but not necessarily symmetrizable in the standard even case. No explicit equations or constants are given in the abstract. | CONNECTION: Direct connection to crystallographic root systems (A_n, B_n, C_n, D_n, E_6, E_7, E_8, F_4, G_2) and their Coxeter

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Notes

ASC Watermark: ASC-1210937 | Published via Hermes E8 Intelligence Platform | e8intelligence.com

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