Results 1 to 10 of about 100,519 (222)

On dynamical adjoint functor [PDF]

Applied Categorical Structures, 2012
We give an explicit formula relating the dynamical adjoint functor and dynamical twist over nonalbelian base to the invariant pairing on parabolic Verma modules. As an illustration, we give explicit $U(sl(n))$- and $U_\hbar(sl(n))$-invariant star product
A Alekseev, A Alekseev, Andrey Mudrov, B Enriquez, B Enriquez, D Arnaudon, E Karolinsky, J Donin, J-L Gervais, LA Takhtajan, M Bordemann, P Etingof, P Etingof   +12 more
core   +7 more sources

Adjoint functor theorems for lax-idempotent pseudomonads [PDF]

Theory and Applications of Categories, 2023
For each pair of lax-idempotent pseudomonads $R$ and $I$, for which $I$ is locally fully faithful and $R$ distributes over $I$, we establish an adjoint functor theorem, relating $R$-cocontinuity to adjointness relative to $I$.
Nathanael Arkor, Ivan Di Liberti, Fosco Loregiàn   +2 more
semanticscholar   +5 more sources

Twisted separability for adjoint functors [PDF]

Theory and Applications of Categories, 2023
Twisted separable functors generalize the separable functors of Nastasescu, Van den Bergh and Van Oystaeyen, and provide a convenient tool to compare various projective dimensions.
Julien Bichon
semanticscholar   +6 more sources

Adjoint functor theorems for ∞‐categories [PDF]

Journal of the London Mathematical Society, 2019
Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an adjoint. In this paper, we prove general adjoint functor theorems for functors between ∞ ‐categories.
Hoang Kim Nguyen, George Raptis, Christoph Schrade   +2 more
semanticscholar   +5 more sources

Universal Enveloping Algebras of Lie–Rinehart Algebras as a Left Adjoint Functor [PDF]

Mediterranean Journal of Mathematics, 2022
We prove how the universal enveloping algebra constructions for Lie–Rinehart algebras and anchored Lie algebras are naturally left adjoint functors. This provides a conceptual motivation for the universal properties these constructions satisfy.
Paolo Saracco
openalex   +2 more sources

The Path Algebra as a Left Adjoint Functor [PDF]

Algebras and Representation Theory, 2018
We consider an intermediate category between the category of finite quivers and a certain category of pseudocompact associative algebras whose objects include all pointed finite dimensional algebras.
Kostiantyn Iusenko, John MacQuarrie
semanticscholar   +3 more sources

Derived category of weak chain U-complexes [PDF]

Heliyon
In this paper, we define the derived category of weak chain U-complexes, and we give a characterization of any weak chain U-complex as an object in the right bounded homotopy category of weak chain U-complexes of projective modules.
Fajar Yuliawan, Intan Muchtadi-Alamsyah, Valerian Pratama, Gustina Elfiyanti   +3 more
doaj   +2 more sources

Higher Algebraic K-Theory of Causality [PDF]

Entropy
Causal discovery involves searching intractably large spaces. Decomposing the search space into classes of observationally equivalent causal models is a well-studied avenue to making discovery tractable.
Sridhar Mahadevan
doaj   +2 more sources

The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors [PDF]

Homotopy Theory: Tools and Applications, 2019
For $N_\infty$ operads $\mathcal O$ and $\mathcal O'$ such that there is an inclusion of the associated indexing systems, there is a forgetful functor from incomplete Tambara functors over $\mathcal O'$ to incomplete Tambara functors over $\mathcal O ...
Andrew J. Blumberg, Michael A. Hill
openalex   +2 more sources

An adjoint-functor theorem over topoi [PDF]

Bulletin of the Australian Mathematical Society, 1976
Brian J. Day
openalex   +2 more sources