Hidden structures behind ambient symmetries of the Maurer-Cartan equation
| Authors |
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|---|---|
| Publication date | 2026 |
| Journal | Homology, Homotopy and Applications |
| Volume | Issue number | 28 | 1 |
| Pages (from-to) | 215-239 |
| Organisations |
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| Abstract | For every differential graded Lie algebra g one can define two different group actions on the Maurer–Cartan elements: the ubiquitous gauge action and the action of Lie∞-isotopies of g, which we call the ambient action. In this note, we explain how the assertion of gauge triviality of a homologically trivial ambient action relates to the calculus of dendriform, Zin biel, and Rota–Baxter algebras, and to Eulerian idempotents. In particular, we exhibit new relationships between these alge braic structures and the operad of rational functions defined by Loday. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.4310/HHA.2026.v28.n1.a11 |
| Other links | https://www.scopus.com/pages/publications/105032761273 |
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Hidden structures behind ambient symmetries of the Maurer-Cartan equation
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