Biserial algebras and graphs

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August undefined, 2024

WebApr 1, 2024 · Auslander-Reiten Components of Symmetric Special Biserial Algebras. April 2024; Journal of Algebra 508(2–3) DOI: 10.1016/j.jalgebra.2024.03.040. WebFeb 1, 1998 · THE STRUCTURE OF BISERIAL ALGEBRAS - Volume 57 Issue 1. By an algebra Λ we mean an associative k-algebra with identity, where k is an algebraically …

THE STRUCTURE OF BISERIAL ALGEBRAS Journal of the …

WebApr 19, 2024 · A section on gentle algebras and their associated ribbon graph, trivial extensions of gentle algebras, admissible cuts of Brauer graph algebras and a first … WebJan 4, 2016 · After motivating the study of Brauer graph algebras by relating them to special biserial algebras, the definition of Brauer graph algebras is given in great detail with many examples to illustrate ... notion shared workspace

Classification of Symmetric Special Biserial Algebras With At …

WebFor the definition and concrete description of generalized barbell algebras, we refer to Subsection 2.4 and Figure 2. In particular, the following theorem follows from our results in Section 3. Theorem 1.1 Let Λ be a minimal brick-infinite biserial algebra. Then, Λ is either en or Λ is a generalized barbell algebra. WebAs a corollary of Theorems 1.1 and 1.2 and the fact that Brauer graph algebras can be derived equivalent only to symmetric stably biserial algebras [8] we obtain the following: Corollary 1.3. The class of Brauer graph algebras is closed under derived equivalence. Namely, if A is an algebra Morita equivalent to a Brauer graph algebra and B is an WebIn geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size). Usually it involves a bisecting line, also called a bisector.The … how to share ownership of onenote

[1612.00061] Brauer graph algebras - arXiv.org

The Ext algebra of a Brauer graph algebra - Semantic Scholar

WebMar 1, 2024 · This class contains many of the tame group algebras of finite groups and tame subalgebras of group algebras of finite groups [3], gentle algebras, string algebras and symmetric special biserial algebras [14], also known as Brauer graph algebras [10], [11], algebras of quasi-quaternion type [8] and the intensely studied Jacobian algebras … WebMay 1, 2015 · Connections between Brauer graph algebras and Jacobian algebras of triangulations of marked Riemann surfaces have recently been established by several … how to share outlook email to facebookWebNov 30, 2016 · Brauer graph algebras. These lecture notes on Brauer graph algebras are the result of a series of four lectures given at the CIMPA research school in Mar del Plata, Argentina, in March 2016. After motivating the study of Brauer graph algebras by relating them to special biserial algebras, the definition of Brauer graph algebras is given in ... how to share ownership of microsoft forms

"WebApr 5, 2024 · Complete gentle and special biserial algebras are g-tame Authors. Toshitaka Aoki; Toshiya Yurikusa; Content type: OriginalPaper Published: 04 April 2024; Intersection density of cubic symmetric graphs Authors. Klavdija Kutnar; Dragan Marušič ... Annihilator ideals of graph algebras " - Biserial algebras and graphs

Biserial algebras and graphs

Web[FS07]. Recently, Brauer graph algebras also appeared in connection with dessins d’enfants [MS20]. Over an algebraically closed ﬁeld the class of Brauer graph algebras coincides with the class of symmetric special biserial algebras [AG05, Sch15], whose representation theory has been studied quite extensively. WebSep 13, 2024 · This is the modern analogue of the recent classification of minimal representation-infinite (special) biserial algebras, given by Ringel. In particular, we show that every minimal brick-infinite biserial algebra is gentle and admits exactly one generic brick. Furthermore, we describe the spectrum of such algebras, which is very similar to …

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Webalgebras of ﬁnite groups, Hecke algebras and special biserial algebras. The last family is particularly interesting, as large parts of the representation theory and (co)homology are well-studied and understood. The class of symmetric special biserial algebras coincides with the class of Brauer graph algebras [32]. http://export.arxiv.org/abs/2209.05696

WebDec 15, 2015 · Gentle algebras, symmetric special biserial algebras and Brauer graph algebras. Let k be an algebraically closed field and let Q be a finite connected quiver. …

WebFeb 13, 2015 · We consider a natural generalization of symmetric Nakayama algebras, namely, symmetric special biserial algebras with at most one non-uniserial indecomposable projective module. We describe the basic algebras explicitly by quiver and relations, then classify them up to derived equivalence and up to stable equivalence of … WebDec 1, 2014 · The class of symmetric special biserial algebras coincides with the class of Brauer graph algebras [32]. Brauer graph algebras can be described in two important ways, firstly as a quotient of the path algebra of a quiver, and secondly via a graph, the Brauer graph, with a circular ordering on the edges around each vertex, together with …

WebNov 30, 2016 · A section on gentle algebras and their graphs, trivial extensions of gentle algebras, admissible cuts of Brauer graph algebras and a first connection of Brauer …

WebMay 25, 2014 · This is a symmetric special biserial algebra and hence a Brauer graph algebra of which we explicitly give the Brauer graph. We further show that a Brauer … how to share own git projectWebBiserial definition, of or relating to the correlation between two sets of measurements, one set of which is limited to one of two values. See more. notion sharepoint 連携WebThe g-tameness is known for path algebras of extended Dynkin quivers [Hil06], for complete pre-projective algebras of extended Dynkin graphs [KM22], and for Jacobian algebras associated with triangulated surfaces [Yur20]. We prove the g-tameness of a new class. Theorem 1.3. Any complete special biserial algebra is g-tame. how to share outlook emailWebFeb 26, 2013 · The Ext algebra of a Brauer graph algebra @article{Green2013TheEA, title={The Ext algebra of a Brauer graph algebra}, author={Edward Lee Green and Sibylle Schroll and Nicole Snashall and Rachel Taillefer}, journal={arXiv: Representation Theory}, year={2013} } E. Green, Sibylle Schroll, +1 author R. Taillefer; Published 26 February … how to share ownership of a houseWebJun 14, 2024 · The structure of symmetric stably biserial algebras is analyzed. It is shown that in characteristic other than 2, the classes of symmetric special biserial (Brauer … notion sharing permissionsWebSep 13, 2024 · This is the modern analogue of the recent classification of minimal representation-infinite (special) biserial algebras, given by Ringel. In particular, we show … notion sharingWebAlgebras and modules II : Eighth International Conference on Representations of Algebras, August 4-10, 1996, Geiranger, Norway / Saved in: ... t The preprojective algebra of a quiver / r Claus Michael Ringel -- t Biserial algebras and graphs / r K. W. Roggenkamp -- t Endofinite modules over hereditary artinian PI-rings / r Markus ... notion shift enter