Results 91 to 100 of about 1,263,781 (250)

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

d-abelian quotients of (d+2)-angulated categories [PDF]

, 2019
Let T be a triangulated category. If t is a cluster tilting object and I=add t is the ideal of morphisms factoring through an object of add t, then the quotient category T/I is abelian.
Jacobsen, Karin Marie, Jørgensen, Peter
core   +1 more source

The structure of almost Abelian Lie algebras

, 2022
An almost Abelian Lie algebra is a non-Abelian Lie algebra with a codimension 1 Abelian ideal. Most 3-dimensional real Lie algebras are almost Abelian, and they appear in every branch of physics that deals with anisotropic media - cosmology ...
Avetisyan, Zhirayr
core   +1 more source

Abelian Ideals of a Borel Subalgebra and Root Systems, II [PDF]

Algebras and Representation Theory, 2019
12 ...
openaire   +3 more sources

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

Some properties of Lorenzen ideal systems [PDF]

, 2000
summary:Let $G$ be a partially ordered abelian group ($po$-group). The construction of the Lorenzen ideal $r_a$-system in $G$ is investigated and the functorial properties of this construction with respect to the semigroup $(R(G),\oplus ,\le )$ of all $r$
Močkoř, J., Kalapodi, A., Kontolatou, A.   +2 more
core  

Infinite Abelian Groups

, 1970
When the theory of groups was first introduced, the attention was on finite groups. Now, the infinite abelian groups have some into their own. the results obtained in infinite abelian groups are very interesting and penetrating in other branches of ...
Pascual, Joaquin
core   +1 more source

Rickard's derived Morita theory: Review and outlook

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso, Henning Krause, Sibylle Schroll   +2 more
wiley   +1 more source

Modules With Epimorphisms Between Their Submodules

Journal of Mathematics
An R-module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomRN,K or HomRK,N contains an injective element.
P. Karimi Beiranvand
doaj   +1 more source