Results 21 to 30 of about 318,286 (107)

A note on deriving unbounded functors of exact categories, with applications to Ind- and Pro- functors [PDF]

arXiv, 2021
In this short note we show that under very mild conditions on a functor between exact categories $F:\mathcal{D}\rightarrow\mathcal{E}$ it is possible to derive $F$ at the level of unbounded complexes. We also give applications to deriving functors between $Pro$- and $Ind$- categories.
arxiv  

Affine Non‐Reductive GIT and moduli of representations of quivers with multiplicities

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non‐Reductive GIT. Our quotients come with explicit projective completions, whose boundaries we interpret in terms of the original action.
Eloise Hamilton, Victoria Hoskins, Joshua Jackson   +2 more
wiley   +1 more source

From Gorenstein derived equivalences to stable functors of Gorenstein projective modules [PDF]

arXiv, 2022
In the paper, we mainly connect the Gorenstein derived equivalence and stable functors of Gorenstein projective modules. Specially, we prove that a Gorenstein derived equivalence between CM-finite algebras A and B can induce a stable functor between the factor categories A-mod/A-Gproj and B-mod\B-Gproj.
arxiv  

Averaging multipliers on locally compact quantum groups

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws, Jacek Krajczok, Christian Voigt   +2 more
wiley   +1 more source

Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities

, 2009
In this paper we establish an equivalence between the category of graded D-branes of type B in Landau-Ginzburg models with homogeneous superpotential W and the triangulated category of singularities of the fiber of W over zero.
A Beilinson, A Bondal, A Bondal, A Yekutieli, A Yekutieli, B Keller, D Auroux, D Baer, D Happel, D Orlov, D Orlov, M Artin, P Gabriel, P Gabriel, W Geigle, Y Kawamata   +15 more
core   +1 more source

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

Derived equivalences of functor categories

, 2019
Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. Using the notion of relative derived categories of functor categories, we generalize Rickard's theorem on derived equivalences of module categories over rings to $\Mod \
Asadollahi, J., Hafezi, R., Vahed, R.
core   +1 more source

On the parameterized Tate construction

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley   +1 more source

Analytic vectors in continuous p-adic representations

, 2012
Given a compact p-adic Lie group G over a finite unramified extension L/Q_p let G_0 be the product over all Galois conjugates of G. We construct an exact and faithful functor from admissible G-Banach space representations to admissible locally L-analytic
Borel, Bourbaki, Bourbaki, Dixmier, Emerton, Féaux de Lacroix, Li, Pirkovski, Schneider, Schneider, Tobias Schmidt   +10 more
core   +2 more sources

Double Copy From Tensor Products of Metric BV■‐Algebras

Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf   +5 more
wiley   +1 more source