2009/01/29 by Alexandr N. Zubkov, A. N. Zubkov, Zubkov, A. N.
Mathematics · #16W30 #16W55 #17A70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16W30 #msc:16W55 #msc:17A70
paper · pdf · doi:10.48550/arxiv.0901.4687
12 pages
arxiv created 2009/01/29 · openalex publication_date 2009/01/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we consider sheaf quotients of affine superschemes by finite supergroups that act on them freely. More precisely, if a finite supergroup G acts on an affine superscheme X freely, then the quotient K-sheaf X/G is again an affine superscheme Y, where K[Y]≃ K[X]G. Besides, K[X] is a finitely presented projective K[X]G-module.