@article{oai:tsukuba.repo.nii.ac.jp:00047925, author = {増岡, 彰 and Masuoka, Akira and Shibata, Taiki}, journal = {Journal of algebra}, month = {Jun}, note = {To construct an affine supergroup from a Harish-Chandra pair, Gavarini [2] invented a natural method, which first constructs a group functor and then proves that it is representable. We give a simpler and more conceptual presentation of his construction in a generalized situation, using Hopf superalgebras over a superalgebra. As an application of the construction, given a closed super-subgroup of an algebraic supergroup, we describe the normalizer and the centralizer, using Harish-Chandra pairs. We also prove a tensor product decomposition theorem for Hopf superalgebras, and describe explicitly by cocycle deformation, the difference which results from the two choices of dualities found in literature.}, pages = {534--572}, title = {On functor points of affine supergroups}, volume = {503}, year = {2018} }