Results 41 to 50 of about 5,878 (86)

Cluster categories for completed infinity‐gons I: Categorifying triangulations

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract Paquette and Yıldırım recently introduced triangulated categories of arcs in completed infinity‐gons, which are discs with an infinite closed set of marked points on their boundary. These categories have many features in common with the cluster categories associated to discs with different sets of marked points. In particular, they have (weak)
İlke Çanakçı, Martin Kalck, Matthew Pressland   +2 more
wiley   +1 more source

Symmetric spectra

, 1998
The long hunt for a symmetric monoidal category of spectra finally ended in success with the simultaneous discovery of the third author's discovery of symmetric spectra and the Elmendorf-Kriz-Mandell-May category of S-modules. In this paper we define and
Hovey, Mark, Shipley, Brooke, Smith, Jeff   +2 more
core   +3 more sources

Linkage and translation for tensor products of representations of simple algebraic groups and quantum groups

Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.
Abstract Let G$\mathbf {G}$ be either a simple linear algebraic group over an algebraically closed field of characteristic ℓ>0$\ell >0$ or a quantum group at an ℓ$\ell$‐th root of unity. We define a tensor ideal of singular G$\mathbf {G}$‐modules in the category Rep(G)$\mathrm{Rep}(\mathbf {G})$ of finite‐dimensional G$\mathbf {G}$‐modules and study ...
Jonathan Gruber
wiley   +1 more source

Topological endomorphism rings of tilting complexes

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract In a compactly generated triangulated category, we introduce a class of tilting objects satisfying a certain purity condition. We call these the decent tilting objects and show that the tilting heart induced by any such object is equivalent to a category of contramodules over the endomorphism ring of the tilting object endowed with a natural ...
Michal Hrbek
wiley   +1 more source

Augmented Homotopical Algebraic Geometry

, 2017
We develop the framework for augmented homotopical algebraic geometry. This is an extension of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry.
Balchin, Scott
core  

Module categories, internal bimodules, and Tambara modules

Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.
Abstract We use the theory of Tambara modules to extend and generalize the reconstruction theorem for module categories over a rigid monoidal category to the nonrigid case. We show a biequivalence between the 2‐category of cyclic module categories over a monoidal category C$\mathcal {C}$ and the bicategory of algebra and bimodule objects in the ...
Mateusz Stroiński
wiley   +1 more source

Modules of finite Gorenstein flat dimension and approximations

Mathematische Nachrichten, Volume 297, Issue 4, Page 1187-1207, April 2024.
Abstract We study approximations of modules of finite Gorenstein flat dimension by (projectively coresolved) Gorenstein flat modules and modules of finite flat dimension. These approximations determine the Gorenstein flat dimension and lead to descriptions of the corresponding relative homological dimensions, for such modules, in more classical terms ...
Ioannis Emmanouil
wiley   +1 more source

Andr\'e-Quillen homology via functor homology

, 2001
We obtain Andr\'e-Quillen homology for commutative algebras using relative homological algebra in the category of functors on finite pointed ...
Pirashvili, Teimuraz
core   +1 more source

Equivariant Oka theory: survey of recent progress. [PDF]

Complex Analysis Synerg, 2022
Kutzschebauch F, Lárusson F, Schwarz GW.   +2 more
europepmc   +1 more source

Pullback Bundles and the Geometry of Learning. [PDF]

Entropy (Basel), 2023
Puechmorel S.
europepmc   +1 more source