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A note on Rota-Baxter affgebras
Abstract
An affinization of a concept of a Rota-Baxter operator or Rota-Baxter affgebras are discussed. Rota-Baxter Lie affgebras and their relation to Rota-Baxter Lie algebras are treated in more detail. In particular it is shown that every Rota-Baxter Lie affgebra is isomorphic to a Rota-Baxter Lie affgebra with a Lie algebra fibre over which the affine Rota-Baxter operator is linear.
Related
- Rota-Baxter operators and factorization of Lie affgebras
- 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
- Rota---Baxter operators on extraspecial groups
BibTeX
@misc{brzezinski2026note,
title = {{A note on Rota-Baxter affgebras}},
author = {Tomasz Brzeziński},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33573},
eprint = {2610.33573},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33573},
}
RIS
TY - UNPB
TI - A note on Rota-Baxter affgebras
AU - Tomasz Brzeziński
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.33573
UR - https://arxiv.org/abs/2610.33573
AB - An affinization of a concept of a Rota-Baxter operator or Rota-Baxter affgebras are discussed. Rota-Baxter Lie affgebras and their relation to Rota-Baxter Lie algebras are treated in more detail. In particular it is shown that every Rota-Baxter Lie affgebra is isomorphic to a Rota-Baxter Lie affgebra with a Lie algebra fibre over which the affine Rota-Baxter operator is linear.
ER -