PreprintCC BY 4.0arXiv
Structure of adjacency algebras of thin Jordan schemes
Abstract
We prove that adjacency algebras of Jordan schemes over fields of characteristic zero are semisimple. We then classify the adjacency algebras of thin Jordan schemes over the fields of real numbers or complex numbers. The simple summands of the adjacency algebras over these fields are restricted to specific types of simple Jordan algebras.
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BibTeX
@misc{ohisa2026structure,
title = {{Structure of adjacency algebras of thin Jordan schemes}},
author = {Yudai Ohisa and Kyohei Yanagisawa},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07527},
eprint = {2611.07527},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07527},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Structure of adjacency algebras of thin Jordan schemes
AU - Yudai Ohisa
AU - Kyohei Yanagisawa
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07527
UR - https://arxiv.org/abs/2611.07527
AB - We prove that adjacency algebras of Jordan schemes over fields of characteristic zero are semisimple. We then classify the adjacency algebras of thin Jordan schemes over the fields of real numbers or complex numbers. The simple summands of the adjacency algebras over these fields are restricted to specific types of simple Jordan algebras.
ER -