Results 31 to 40 of about 318,286 (107)
Biset functors as module Mackey functors, and its relation to derivators [PDF]
arXiv, 2016 In this article, we will show that the category of biset functors can be regarded as a reflective monoidal subcategory of the category of Mackey functors on the 2-category of finite groupoids. This reflective subcategory is equivalent to the category of modules over the Burnside functor.
arxiv
The Gorenstein defect category [PDF]
, 2014 We consider the homotopy category of complexes of projective modules over a Noetherian ring. Truncation at degree zero induces a fully faithful triangle functor from the totally acyclic complexes to the stable derived category.
Bergh, Petter Andreas +2 more
core
Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities
Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 444-462, February 2025.Abstract It is shown that semilinear parabolic evolution equations u′=Au+f(t,u)$u^{\prime }=Au+f(t,u)$ featuring Hölder continuous nonlinearities f=f(t,u)$ f=f(t,u)$ with at most linear growth possess global strong solutions for a general class of initial data. The abstract results are applied to a recent model describing front propagation in bushfires
Bogdan‐Vasile Matioc, Christoph Walker
wiley +1 more source
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch +2 more
wiley +1 more source
On the negative-one shift functor for FI-modules [PDF]
arXiv, 2016 We show that the negative-one shift functor on the category of FI-modules is a left adjoint of the shift functor and a right adjoint of the derivative functor. We also describe how the coinduction functor is related to the negative-one shift functor.
arxiv
Jordan correspondence and block distribution of characters
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We complete the determination of the ℓ$\ell$‐block distribution of characters for quasi‐simple exceptional groups of Lie type up to some minor ambiguities relating to non‐uniqueness of Jordan decomposition. For this, we first determine the ℓ$\ell$‐block distribution for finite reductive groups whose ambient algebraic group defined in ...
Radha Kessar, Gunter Malle
wiley +1 more source
Free Group Rings and Derived Functors [PDF]
arXiv, 2016 An approach to identify the normal subgroups determined by ideals in free group rings with the help of the derived functors of non-additive functors is explored. A similar approach, i.e., via derived functors, for computing limits of functors from the category of free presentations to the category of abelian groups, arising from commutator structure of
arxiv
A stable splitting of factorisation homology of generalised surfaces
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract For a manifold W$W$ and an Ed$\smash{E_{\smash{d}} }$‐algebra A$A$, the factorisation homology ∫WA$\smash{\int _W A}$ can be seen as a generalisation of the classical configuration space of labelled particles in W$W$. It carries an action by the diffeomorphism group Diff∂(W)$\mathrm{Diff}{}_\partial (W)$, and for the generalised surfaces Wg,1≔(
Florian Kranhold
wiley +1 more source
Symmetric Powers and Norms of Mackey Functors [PDF]
arXiv, 2013 In this paper we give detailed algebraic descriptions of the derived symmetric power and norm constructions on categories of Mackey functors, as well as the derived G-symmetric monoidal structure. We build on the results of [Ull2], in which it is shown that every Tambara functor over a finite group G arises as the zeroth stable homotopy group of a ...
arxiv
From GPU to CPU (and Beyond): Extending Hardware Support in GPUSPH Through a SYCL‐Inspired Interface
Concurrency and Computation: Practice and Experience, Volume 37, Issue 1, 10 January 2025.ABSTRACT While most software is originally designed for serial or parallel execution on CPU, and porting to GPU comes later in its development, GPUSPH was designed from the ground up to run on GPUs using CUDA. Making it accessible to a wider audience by introducing support for other computational hardware, and in particular CPUs, poses challenges that ...
Giuseppe Bilotta
wiley +1 more source