2024/11/23 by Tekin Karadag, Karadag, Tekin, Daniel K. Nakano +1
Mathematics · #18G10 #20G10 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2411.15569
openalex publication_date 2024/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper the authors investigate the structure of the Hochschild cohomology for Frobenius kernels. The authors first establish some fundamental constructions to compute Hochschild cohomology by using spectral sequences. This enables us to provide a complete description of the G-algebra structure of the Hochschild cohomology for the first Frobenius kernel G1 where G=SL2. This computation heavily relies on the calculation of the adjoint action on the restricted enveloping algebra.