17 Citations
Special multiserial algebras, Brauer configuration algebras and more : a survey
- Mathematics
- 2017
We survey results on multiserial algebras, special multiserial algebras and Brauer configuration algebras. A structural property of modules over a special multiserial algebra is presented. Almost…
Tubes Containing String Modules in Symmetric Special Multiserial Algebras
- Mathematics
- 2020
We provide a method for determining the existence and ranks of tubes in the stable Auslander-Reiten quiver of symmetric special multiserial algebras using only the information from the underlying…
Dessins d'enfants, Brauer graph algebras and Galois invariants
- Mathematics
- 2019
In this paper, we associate a finite dimensional algebra, called a Brauer graph algebra, to every clean dessin d'enfant by constructing a quiver based on the monodromy of the dessin. We show that the…
Dessins d’Enfants and Brauer Configuration Algebras
- MathematicsGalois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants
- 2020
In this paper we associate to a dessin d'enfant an associative algebra, called a Brauer configuration algebra. This is an algebra given by quiver and relations induced by the monodromy of the dessin…
Tame and Wild Symmetric Special Multiserial Algebras
- Mathematics
- 2018
We provide a complete classification of all tame and wild symmetric special multiserial algebras in terms of the underlying Brauer configuration. Our classification contains the symmetric special…
Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
- MathematicsAlgebras and Representation Theory
- 2019
We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of…
Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
- MathematicsAlgebras and Representation Theory
- 2019
We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of…
Two-term silting complexes over algebras with radical square zero
- Mathematics
- 2018
We give an explicit description of two-term silting complexes over algebras with radical square zero in terms of tilting modules over path algebras. As an application, we prove that the number of…
References
SHOWING 1-10 OF 58 REFERENCES
Representation-finite biserial algebras.
- Mathematics
- 1983
An algebra A is called biserial (cf. [9]) if the radical of any indecomposable nonuniserial projective, left or right, ^4-module is a sum of two uniserial submodules whose intersection is simple or…
The Structure of Biserial Algebras
- Mathematics
- 1998
By an algebra Λ we mean an associative k‐algebra with identity, where k is an algebraically closed field. All algebras are assumed to be finite dimensional over k (except the path algebra kQ). An…
Blocks of Tame Representation Type and Related Algebras
- Mathematics
- 1990
Algebras, quivers, representation type, Auslander-Reiten theory, coverings.- Special biserial algebras and the local semidihedral algebra.- Tame symmetric local algebras.- More on modules, quivers,…
Representation Theory of Artin Algebras I
- Mathematics
- 1974
This is the first of a series of papers dealing with the representation theory of artin algebras, where by an artin algebra we mean an artin ring having the property that its center is an artin ring…
INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP
- Mathematics
- 1968
Let be the Lie algebra of the Lorentz group or, what is the same, of the group . We denote by the Lie algebra of its maximal compact subgroup, that is, of . Let be the finite-dimensional irreducible…