2015/09/14 by Lleonard Rubio y Degrassi, Degrassi, Lleonard Rubio y
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1509.04197
arxiv created 2015/09/14 · openalex publication_date 2015/09/14 · arxiv updated 2015/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the p-power maps in the first Hochschild cohomology space of finite-dimensional selfinjective algebras over a field of prime characteristic p commute with stable equivalences of Morita type on the subgroup of classes represented by integrable derivations. We show, by giving an example, that the p-power maps do not necessarily commute with arbitrary transfer maps in the Hochschild cohomology of symmetric algebras.