Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Brzeziński, Tomasz
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Narodowym Centrum Nauki
OpenAlex ID: W7223951450