Real non-degenerate two-step nilpotent Lie algebras of dimension eight

Mikhail Borovoi*, Bodgan Adrian Dina, Willem A. de Graaf

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We classify the non-degenerate two-step nilpotent Lie algebras of dimension 8 over the field of real numbers, using known results over complex numbers. We write explicit structure constants for these real Lie algebras.

Original languageEnglish
Article number16
JournalEuropean Journal of Mathematics
Volume10
Issue number1
DOIs
StatePublished - Mar 2024

Funding

FundersFunder number
Israel Science Foundation1030/22
Porter School of Environmental Studies, Tel Aviv University
Tel Aviv University
Claire and Amédée Maratier Institute for the Study of Blindness and Visual Disorders, Tel Aviv University
Center for Nanoscience and Nanotechnology, Tel Aviv University
Adams Super Center for Brain Studies,Tel Aviv University
Cancer Biology Research Center, Tel Aviv University
Varda and Boaz Dotan Research Center for Hemato-Oncology Research, Tel Aviv University
Manna Center for Plant Biosciences, Tel Aviv University
Sagol School of Neuroscience, Tel Aviv University
Check Point Institute for Information Security, Tel Aviv University
Yitzhak and Chaya Weinstein Research Institute for Signal Processing, Tel Aviv University

    Keywords

    • Real Galois cohomology
    • Real form
    • Two-step nilpotent Lie algebra

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