2 papers
math.QA2025
2-dimensional self-distributive non-counital bialgebras and knot invariants
Valeriy G. Bardakov, Tatiana A. Kozlovskaya, Alexander S. Panasenko +1
In the preprint of V. Bardakov, T. Kozlovskaya, D. Talalaev (Self-distributive bialgebras, arXiv:2501.19152) it was formulated a problem of classification of self-distributive bial…
math.RA2025
Rota-Baxter operators of nonzero weight on the split Cayley-Dickson algebra
A. S. Panasenko
We describe Rota-Baxter operators on split octonions. It turns out that up to some transformations there exists exactly one such non-splitting operator over any field. We also obta…