Affine Nijenhuis Operators and Hochschild Cohomology of Trusses

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Brzeziński, Tomasz, Papworth, James
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211973
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Affine Nijenhuis Operators and Hochschild Cohomology of Trusses. Tomasz Brzeziński and James Papworth. SIGMA 19 (2023), 056, 22 pages

The classical Hochschild cohomology theory of rings is extended to abelian heaps with distributing multiplication or trusses. This cohomology is then employed to give necessary and sufficient conditions for a Nijenhuis product on a truss (defined by the extension of the Nijenhuis product on an assoc...