Rendiconti del Seminario Matematico della Università di Padova
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Connectedness of the Tannakian group attached to semi-stable multiple filtrationsMasami Fujimori (1) Kanagawa Institute of Technology, Atsugi, Kanagawa, Japan
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.
Keywords: Finite group, representation, semi-simple, slope, tensor category, unipotent
Fujimori Masami: Connectedness of the Tannakian group attached to semi-stable multiple filtrations. Rend. Sem. Mat. Univ. Padova 131 (2014), 209-216. doi: 10.4171/RSMUP/131-12