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Rota---Baxter operators on extraspecial groups
Abstract
Theory of Rota--Baxter operators on rings and algebras has been developed since 1960. In 2021, L. Guo, H. Lang, Y. Sheng have defined the notion of Rota---Baxter operator on a group. We classify all Rota---Baxter operators on the finite Heisenberg group and the extraspecial group of order p3. We also investigate an analogue of the spectral property for Rota---Baxter operators on algebras.
Related
- The Classification of the Rota-Baxter Operators on Four-dimensional Grassmann Algebra
- Extremal Rota-Baxter operators on matrix algebras
- NS-Leibniz bialgebras, the Yang--Baxter equation and relative Rota--Baxter operators
- Restricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structures
- Rota-Baxter operators and factorization of Lie affgebras
BibTeX
@misc{savelyev2026rotabaxter,
title = {{Rota---Baxter operators on extraspecial groups}},
author = {Andrey Savelyev},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28291},
eprint = {2608.28291},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28291},
}
RIS
TY - UNPB
TI - Rota---Baxter operators on extraspecial groups
AU - Andrey Savelyev
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28291
UR - https://arxiv.org/abs/2608.28291
AB - Theory of Rota--Baxter operators on rings and algebras has been developed since 1960. In 2021, L. Guo, H. Lang, Y. Sheng have defined the notion of Rota---Baxter operator on a group. We classify all Rota---Baxter operators on the finite Heisenberg group and the extraspecial group of order p^3. We also investigate an analogue of the spectral property for Rota---Baxter operators on algebras.
ER -