Frobenius functor

Author: ewte

August undefined, 2024

WebDec 30, 2024 · This generalizes the usual Frobenius twist functor in modular representation theory and also one defined in arXiv:1503.01492, where it is used to show that if $\mathcal{C}$ is finite and ... WebApr 13, 2011 · Definition 0.2. An adjoint pair of functor s. (F\dashv G) : D \to C. is a Frobenius pair if F is not only a left adjoint to G but also a right adjoint to G, hence if we …

On the Frobenius functor for symmetric tensor categories in …

WebJan 7, 2015 · 1 Answer. Let k be the field with p elements, A be the Hopf algebra k [ t] with Δ ( t) = t ⊗ 1 + 1 ⊗ t, and let F: A → A be its Frobenius map. If B is a k -algebra, then there is a bijection Φ: hom ( A, B) → B (with hom denoting algebra homomorphisms) given by Φ ( f) = f ( t). The comultiplication on A turns hom ( A, B) into a group ... Webwhich make F a lax and oplax monoidal functor and satisfy compatibility conditions which are analogue to those of a product and coproduct of a Frobenius algebra. While any monoidal functor is, in particular, Frobenius monoidal, for general Frobenius monoidal functors, like those consid-ered in this paper, FpVq b FpWq and FpV b Wq are not ... romany 21 fishing boat

Frobenius morphism in nLab

WebJan 5, 2012 · We investigate commutative Noetherian rings of prime characteristic such that the Frobenius functor applied to any injective module is again injective. We … WebApr 11, 2024 · This generalizes the usual Frobenius twist functor in modular representation theory and also the one defined in [V. Ostrik, On symmetric fusion categories in positive characteristic, Selecta Math ... romany and raq

Discrete pre-Tannakian categories - ResearchGate

Graphs attached to simple Frobenius-Perron dimensions of an …

WebMar 1, 2024 · Since the completion functor ^: Sch k → fSch k {}^\hat\;:Sch_k\to fSch_k commutes with the above constructions the Frobenius morphism can be defined for formal k-schemes, too. In terms of symmetric products. We give here another characterization of the Frobenius morphism in terms of symmetric products. Web1.4. Frobenius Reciprocity. Obviously, the restriction functor ResG H maps nite-dimensional representations into nite dimensional representations. From the fol-lowing … romany a tweed based ampWebfunctor, see between others [12], [23], [25], [26] and [27]. It is known that if Ais a hereditary additive category then the compression functor is ... global dimension, modA, we consider the Frobenius category Cb(projA) and the homotopy category Kb(projA) which is triangle equivalent to the stable category. romany ancestry uk

"Webp-adically complete ring. In particular, forgetting the -structure de nes a functor from (R=A) to the category of p-adic enlargements of Spec(R). However, since we have forgetten the Frobenius lifts, the behaviour of coproducts (and thus also of cohomology) in (R=A) di ers from that in the category of p-adic enlargements of Spec(R). " - Frobenius functor

On the Frobenius functor for symmetric tensor categories in …

Frobenius morphism in nLab

Frobenius functor

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