Novikov algebras and multi-indices in regularity structures
In this work, we introduce multi-Novikov algebras, a generalisation of Novikov algebras with several binary operations indexed by a given set, and show that the multi-indices recently introduced in the context of singular stochastic partial differential equations can be interpreted as free multi-Novikov algebras. This is parallel to the fact that decorated rooted trees arising in the context of regularity structures are related to free multi-pre-Lie algebras.
Authors
- Yvain Bruned (ORCID: https://orcid.org/0000-0002-1714-9130)
- Vladimir Dotsenko (ORCID: https://orcid.org/0000-0002-6949-5166)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Institut Élie Cartan de Lorraine (FR)
- Institut de Recherche Mathématique Avancée (FR)
- Université de Strasbourg (FR)
- Université de Lorraine (FR)
Publication Details
- Journal
- Annales Henri Lebesgue
- Published
- 2026-09-11
- DOI
- https://doi.org/10.5802/ahl.275
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche