Super Weyl Groups and Coxeter Graphs for Basic Classical Lie Superalgebras — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
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 Aij=2(αi,αj)/(αj,αj), Weyl group W generated by simple reflections si. For super cases, the Coxeter graph is modified by odd roots, leading to generalized Cartan matrices with entries in 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
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BibTeX
@misc{caldin2026super,
title = {{Super Weyl Groups and Coxeter Graphs for Basic Classical Lie Superalgebras — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23431341},
url = {https://zenodo.org/records/23431341},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Super Weyl Groups and Coxeter Graphs for Basic Classical Lie Superalgebras — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23431341
UR - https://zenodo.org/records/23431341
AB - 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(α_i,α_j)/(α_j,α_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 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
ER -