We show that the affine group scheme whose category of finite dimensional representations is equivalent to a tensor category of finite dimensional vector spaces equipped with semi-stable (multiple) filtrations of slope zero is connected.
Cite this article
Masami Fujimori, Connectedness of the Tannakian group attached to semi-stable multiple filtrations. Rend. Sem. Mat. Univ. Padova 131 (2014), pp. 209–216