2019/01/18 by Mohammad Mohammadi, Mohammadi, Mohammad, Saad Varsaie +1
Mathematics · Physics and Astronomy · #20N99 #58A50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1901.07395
openalex publication_date 2019/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new generalization of Grassmannians in supergeometry, called ν-Grassmannians, are constructed by gluing ν-domains. By a ν-domain, we mean a superdomain with an odd involution say ν on its structure sheaf, as morphism of modules. Then we show that ν-Grassmannians are homogeneous superspaces. In addition, in the last section, a supergroup associated to the odd involution ν is introduced.