Del Padrone, Alessio and Mazza, Carlo:
Schur-Finite Motives and Trace Identities
Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.1, p. 37-44, (English)
pdf (248 Kb), djvu (91 Kb). | MR 2493643 | Zbl 1179.14020
Sunto
We provide a sufficient condition that ensures the nilpotency of endomorphisms universally of trace zero of Schur-finite objects in a category of homological type, i.e., a $\mathbb{Q}$-linear $\otimes$-category with a tensor functor to super vector spaces. We present some applications in the category of motives, where our result generalizes previous results about finite-dimensional objects, in particular by Kimura. We also present some facts which suggest that this might be the best generalization possible of this line of proof.
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Con il contributo del Ministero per i Beni e le Attività Culturali