Displaying similar documents to “General linear and functor cohomology over finite fields.”

Compact corigid objects in triangulated categories and co-t-structures

David Pauksztello (2008)

Open Mathematics

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In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compact object, C , of a triangulated category, 𝒯 , which is rigid in the sense of Iyama and Yoshino, [12]. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate t-structure on 𝒯 whose heart is equivalent to Mod(End( C )op). Rigid objects in a triangulated category can the thought of as behaving like chain differential graded algebras (DGAs). Analogously, looking at objects...

Bar complexes and extensions of classical exponential functors

Antoine Touzé (2014)

Annales de l’institut Fourier

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We compute Ext-groups between classical exponential functors (i.e. symmetric, exterior or divided powers) and their Frobenius twists. Our method relies on bar constructions, and bridges these Ext-groups with the homology of Eilenberg-Mac Lane spaces. This article completes earlier results of the author, and provides an alternative approach to classical Ext-computations in the category of strict polynomial functors...