Results 81 to 90 of about 37,460 (208)
Derived Kan extension for strict polynomial functors [PDF]
arXiv, 2011 We investigate fundamental properties of adjoint functors to the precomposition functor in the category of strict polynomial functors.
arxiv
The Auslander-Gruson-Jensen Recollement [PDF]
, 2016 For any ring $R$, the Auslander-Gruson-Jensen functor is the exact contravariant functor $$\textsf{D}_A:\textsf{fp}(\textsf{Mod}(R),\textsf{Ab})\longrightarrow(\textsf{mod}(R^{op}),\textsf{Ab})$$ sending representable functors $(X,\hspace{0.05cm}\underline{\ \ }\hspace{0.1cm} )$ to tensor functors $X\otimes\hspace{0.05cm}\underline{\ \ }\hspace{0.1cm} $
arxiv +1 more source
Holographic Duals of Symmetry Broken Phases
Fortschritte der Physik, Volume 72, Issue 12, December 2024.Abstract A novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity is explored by proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal effective field theory (EFT) that describes spontaneous symmetry breaking on the boundary.
Andrea Antinucci +2 more
wiley +1 more source
Tambarization of a Mackey functor and its application to the Witt-Burnside construction [PDF]
arXiv, 2010 For an arbitrary group $G$, a (semi-)Mackey functor is a pair of covariant and contravariant functors from the category of $G$-sets, and is regarded as a $G$-bivariant analog of a commutative (semi-)group. In this view, a $G$-bivariant analog of a (semi-)ring should be a (semi-)Tambara functor.
arxiv
Structure of the Kuranishi spaces of pairs of Kähler manifolds and polystable Higgs bundles
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3581-3600, December 2024.Abstract Let X$X$ be a compact Kähler manifold and (E,∂¯E,θ)$(E,\overline{\partial }_E,\theta)$ be a Higgs bundle over it. We study the structure of the Kuranishi space for the pair (X,E,θ)$(X, E,\theta)$ when the Higgs bundle admits a harmonic metric or equivalently when the Higgs bundle is polystable and the Chern classes are 0.
Takashi Ono
wiley +1 more source
Reflecting perfection for finite‐dimensional differential graded algebras
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3689-3707, December 2024.Abstract We generalise two facts about finite‐dimensional algebras to finite‐dimensional differential graded algebras. The first is the Nakayama lemma and the second is that the simples can detect finite projective dimension. We prove two dual versions which relate to Gorenstein differential graded algebras and Koszul duality, respectively.
Isambard Goodbody
wiley +1 more source
Adjunctions and Braided Objects [PDF]
arXiv, 2013 In this paper we investigate the categories of braided objects, algebras and bialgebras in a given monoidal category, some pairs of adjoint functors between them and their relations. In particular we construct a braided primitive functor and its left adjoint, the braided tensor bialgebra functor, from the category of braided objects to the one of ...
arxiv
, 2011 There is a lot of redundancy in the usual definition of adjoint functors. We define and prove the core of what is required. First we do this in the hom-enriched context. Then we do it in the cocompletion of a bicategory with respect to Kleisli objects, which we then apply to internal categories. Finally, we describe a doctrinal setting.
openaire +2 more sources
Adjoints to a Fourier–Mukai functor
Advances in Mathematics, 2017 Given a Fourier–Mukai functor Φ in the general setting of singular schemes, under various hypotheses we provide both left and a right adjoints to Φ, and also give explicit formulas for them. These formulas are simple and natural, and recover the usual formulas when the Fourier–Mukai kernel is a perfect complex. This extends previous work of [1], [12], [
openaire +2 more sources
An adjunction hypothesis between qualia and reports. [PDF]
Front Psychol, 2022 Tsuchiya N, Saigo H, Phillips S.
europepmc +1 more source