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Extremal Rota-Baxter operators on matrix algebras
Abstract
We classify all Rota-Baxter operators of weight λ on Mn(F) over a field F of characteristic zero whose minimal polynomial has maximal degree and show that in both cases λ= 0 and λ≠ 0 such an operator is conjugate to exactly one operator.
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BibTeX
@misc{gubarev2026extremal,
title = {{Extremal Rota-Baxter operators on matrix algebras}},
author = {Vsevolod Gubarev},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05647},
eprint = {2609.05647},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05647},
}
RIS
TY - UNPB
TI - Extremal Rota-Baxter operators on matrix algebras
AU - Vsevolod Gubarev
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.05647
UR - https://arxiv.org/abs/2609.05647
AB - We classify all Rota-Baxter operators of weight λ on M_n(F) over a field F of characteristic zero whose minimal polynomial has maximal degree and show that in both cases λ= 0 and λ≠ 0 such an operator is conjugate to exactly one operator.
ER -