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PreprintCC BY-NC-SA 4.0arXiv

Lie (super)algebras generated by reflections in finite reflection groups of exceptional type

Abstract

Using a mixture of theoretical tools and computer calculations, we describe the Lie subalgebras and the Lie sub-superalgebras generated by the sets of reflections in the group algebras of the exceptional finite reflection groups.

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BibTeX
@misc{drupieski2026superalgebras,
  title = {{Lie (super)algebras generated by reflections in finite reflection groups of exceptional type}},
  author = {Christopher M. Drupieski and Jonathan R. Kujawa},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37890},
  eprint = {2610.37890},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37890},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Lie (super)algebras generated by reflections in finite reflection groups of exceptional type
AU  - Christopher M. Drupieski
AU  - Jonathan R. Kujawa
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37890
UR  - https://arxiv.org/abs/2610.37890
AB  - Using a mixture of theoretical tools and computer calculations, we describe the Lie subalgebras and the Lie sub-superalgebras generated by the sets of reflections in the group algebras of the exceptional finite reflection groups.
ER  -