2012/08/05 by Sebastian Burciu, Burciu, Sebastian
Engineering · Mathematics · #16T20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Optical Network Technologies #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.QA #math.RA #math.RT #msc:16T20
paper · pdf · doi:10.48550/arxiv.1208.1037
Title changed, new section on Green functors, to appear JLMS
openalex publication_date 2012/08/05 · arxiv created 2013/08/13 · arxiv updated 2013/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A general Mackey type decomposition for representations of semisimple Hopf algebras is investigated. We show that such a decomposition occurs in the case that the module is induced from an arbitrary Hopf subalgebra and it is restricted back to a group subalgebra. Some other examples when such a decomposition occurs are also constructed. They arise from gradings on the category of corepresentations of a semisimple Hopf algebra and provide new examples of Green functors in the literature.