Higher auslander reiten theory
Web1 de jan. de 2024 · Liu initiated the study of Auslander-Reiten theory in Hom-finite, Krull-Schmidt categories in [28] and, in particular, introduced the notion of an admissible ideal (see Definition 4.10). It was shown in [28, §1] that if A is a Hom-finite, Krull-Schmidt category and I is an admissible ideal of A, then, under suitable assumptions, irreducible ... Web15 de out. de 2024 · More recently, Iyama proposed a higher-dimensional generalisation of Auslander–Reiten theory based on the notion of an (m+1)-dimensional Auslander algebra, that is a finite-dimensional K-algebra Γ satisfying the homological constraint(1.3)gl.dim(Γ)≤m+1≤dom.dim(Γ).
Higher auslander reiten theory
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Web5 de jul. de 2004 · Auslander–Reiten theory revisited O. Iyama Mathematics 2008 We recall several results in Auslander-Reiten theory for finite-dimensional algebras over … WebOne of the most remarkable features of higher Auslander-Reiten theory is the exis-tence of a functor ˝ n: M!Mtogether with a natural isomorphism Extn n(X;Y) ˘=DHom (Y;˝ X) for all X;Y 2M; which is a higher analog of usual Auslander-Reiten duality. The simplest class of algebras which have an n-cluster-tilting subcategory are
WebThis textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander-Reiten theory and the study of the radical of a module category. ... 566 Chiswick High Road. London. London. W4 5YA. United Kingdom. Phone: 02035190705. Email: [email protected]. Value Added Tax Number: GB … Web20 de mar. de 2007 · We introduce the concept of maximal (n − 1)-orthogonal subcategories over Artin algebras and orders, and develop (n + 1)-dimensional Auslander–Reiten …
Web1 de ago. de 2024 · The n-canonical algebras were introduced by Herschend-Iyama-Minamoto-Oppermann [19] to extend the class of canonical algebras to higher … Web6 de nov. de 2024 · Download PDF Abstract: We develop a novel combinatorial perspective on the higher Auslander algebras of type $\mathbb{A}$, a family of algebras arising in …
Web27 de out. de 2024 · Higher-dimensional Auslander–Reiten theory on ( d +2)-angulated categories Part of: Representation theory of rings and algebras Published online by …
WebNewcastle University eTheses: Auslander-Reiten theory, derived categories, and higher dimensional homological algebra Newcastle University eTheses Newcastle University Faculty of Science, Agriculture and Engineering School of Mathematics and Statistics incitec pivot productsWeb15 de ago. de 2016 · The Auslander--Reiten theory associated to an -precluster tilting subcategory is used to classify the -minimal Auslander--Gorenstein algebras into four disjoint classes. Our method is based on relative homological algebra due to Auslander--Solberg. Submission history From: Osamu Iyama [ view email ] [v1] Mon, 15 Aug 2016 … incitec pivot phone numberWeb3 de abr. de 2024 · We study Auslander correspondence from the viewpoint of higher-dimensional analogue of Auslander–Reiten theory [O. Iyama, Higher dimensional Auslander–Reiten theory on maximal orthogonal ... incitec pivot portlandWeb19 de mar. de 2008 · Higher Auslander Correspondence for Dualizing R-Varieties O. Iyama, Gustavo Jasso Mathematics Algebras and Representation Theory 2016 Let R be … inbound vs outbound wire transferWebWe shall show that the stable categories of graded Cohen–Macaulay modules over quotient singularities have tilting objects. In particular, these categories are triangle equivalent to derived categories of finite dimensional algebras. Our method is based on higher dimensional Auslander–Reiten theory, which gives cluster tilting objects in the stable … inbound vs outbound transportationWeb24 de set. de 2024 · Auslander-Reiten theory of string alg... 报告人：林增强 （华侨大学） 2024-09-17. The Seneta-Heyde scaling for supercri... 报告人：任艳霞（北京大学） 2024-09-17. Abelian ideals and the variety of Lag... 报告人：Yu LI 2024-09-10. A bijection Theorem for Gorenstein pr... 报告人：张孝金 副教授 2024-09-10 ... inbound warriorsWeb13 de nov. de 2024 · An introduction to higher Auslander–Reiten theory. arXiv:1610.05458v1 (2016) Krause, H.: Smashing subcategories and the telescope conjecture: an algebraic approach. Invent. Math. 139 (1), 99–133 (2000) Article MathSciNet MATH Google Scholar Krause, H.: A short proof for Auslander’s defect formula. Linear … inbound wash