On a cluster category of type D infinity
نویسندگان
چکیده
منابع مشابه
On a Cluster Category of Infinite Dynkin Type, and the Relation to Triangulations of the Infinity-gon
Let k be a field and let D be a k-linear algebraic triangulated category with split idempotents. Let Σ be the suspension functor of D and let s be a 2-spherical object of D, that is, the morphism space D(s,Σs) is k for i = 0 and i = 2 and vanishes otherwise. Assume that s classically generates D, that is, each object of D can be built from s using (de)suspensions, direct sums, direct summands, ...
متن کاملOn a Triangulated Category Which Behaves like a Cluster Category of Infinite Dynkin Type, and the Relation to Triangulations of the Infinity-gon
By a triangulation of the ∞-gon, we mean a maximal set of non-intersecting arcs connecting non-neighbouring integers: We adopt the philosophy that the integers can be viewed as the vertices of the ∞-gon, and that the arcs can be viewed as diagonals. There are two obvious ways to achieve such maximal sets; they are shown in the following two sketches where the arcs must be continued ad infinitum...
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Abstract. We introduce a category of cluster algebras with fixed initial seeds. This category has countable coproducts, which can be constructed combinatorially, but no products. We characterise isomorphisms and monomorphisms in this category and provide combinatorial methods for constructing special classes of monomorphisms and epimorphisms. In the case of cluster algebras from surfaces, we de...
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چکیده ندارد.
On the Infinity Category of Homotopy Leibniz Algebras
We discuss various concepts of ∞-homotopies, as well as the relations between them (focussing on the Leibniz type). In particular ∞-n-homotopies appear as the n-simplices of the nerve of a complete Lie ∞-algebra. In the nilpotent case, this nerve is known to be a Kan complex [Get09]. We argue that there is a quasi-category of ∞-algebras and show that for truncated ∞-algebras, i.e. categorified ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.12.027