Results 31 to 40 of about 2,837 (110)
The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source
Auslander-Reiten theory of small half quantum groups [PDF]
, 2012 For the small half quantum groups and we show that the components of the stable Auslander-Reiten quiver containing gradable modules are of the form Z[A_\infty]Comment: 10 ...
Külshammer, Julian
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Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1568-1583, May 2025.Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley +1 more source
Auslander-Reiten theory for simply connected differential graded algebras [PDF]
, 2007 Peter Jorgensen introduced the Auslander-Reiten quiver of a simply connected Poincare duality space. He showed that its components are of the form ZA_infty and that the Auslander-Reiten quiver of a d-dimensional sphere consists of d-1 such components. In
Schmidt, Karsten
core
Nakajima quiver varieties, affine crystals and combinatorics of Auslander-Reiten quivers
Algebra and Discrete Mathematics, 2022 We obtain an explicit crystal isomorphism between two realizations of crystal bases of finite dimensional irreducible representations of simple Lie algebras of type A and D. The first realization we consider is a geometric construction in terms of irreducible components of certain Nakajima quiver varieties established by Saito and the second is a ...
Kus, D., Schumann, B.
openaire +3 more sources
Shift orbits for elementary representations of Kronecker quivers
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let r∈N⩾3$r \in \mathbb {N}_{\geqslant 3}$. We denote by Kr$K_r$ the wild r$r$‐Kronecker quiver with r$r$ arrows γi:1⟶2$\gamma _i \colon 1 \longrightarrow 2$ and consider the action of the group Gr⊆Aut(Z2)$G_r \subseteq \operatorname{Aut}(\mathbb {Z}^2)$ generated by δ:Z2⟶Z2,(x,y)↦(y,x)$\delta \colon \mathbb {Z}^2 \longrightarrow \mathbb {Z}^2,
Daniel Bissinger
wiley +1 more source
The category of a partitioned fan
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced and the category of a partitioned fan is defined as a generalisation of the τ$\tau$‐cluster morphism category of a finite‐dimensional algebra. This establishes a complete lattice of categories around the τ$\tau$‐cluster morphism category, which is ...
Maximilian Kaipel
wiley +1 more source
Cluster categories, m-cluster categories and diagonals in polygons [PDF]
, 2009 The goals of this expository article are on one hand to describe how to construct ($m$-) cluster categories from triangulations (resp. from $m+2$-angulations) of polygons.
Baur, Karin
core +1 more source
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 +2 more
wiley +1 more source
Universal deformation rings and dihedral defect groups
, 2006 Let k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group, and B is a block of kG with dihedral defect group D which is Morita equivalent to the principal 2-modular ...
Bleher, Frauke M.
core +3 more sources