Schur-Finite Motives and Trace Identities
Del Padrone, Alessio ; Mazza, Carlo
Bollettino dell'Unione Matematica Italiana, Tome 2 (2009), p. 37-44 / Harvested from Biblioteca Digitale Italiana di Matematica
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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 ℚ-linear ⊗-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.

Publié le : 2009-02-01
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     author = {Alessio Del Padrone and Carlo Mazza},
     title = {Schur-Finite Motives and Trace Identities},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2},
     year = {2009},
     pages = {37-44},
     zbl = {1179.14020},
     mrnumber = {2493643},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_1_37_0}
}

Del Padrone, Alessio; Mazza, Carlo. Schur-Finite Motives and Trace Identities. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 37-44. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_1_37_0/

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