Zobrazeno 1 - 10
of 329
pro vyhledávání: '"Skowroński, Andrzej"'
Autor:
Skowroński, Andrzej, Skowyrski, Adam
The weighted triangulation algebras associated to triangulation quivers and their socle deformations were recently introduced and studied in [15]-[20] and [2]. These algebras, based on surface triangulations and originated from the theory of cluster
Externí odkaz:
http://arxiv.org/abs/2106.15218
Autor:
Erdmann, Karin, Skowroński, Andrzej
We introduce a new class of symmetric algebras, which we call hybrid algebras. This class contains on one extreme Brauer graph algebras, and on the other extreme general weighted surface algebras. We show that hybrid algebras are precisely the blocks
Externí odkaz:
http://arxiv.org/abs/2103.05963
The finite-dimensional symmetric algebras over an algebraically closed field, based on surface triangulations, motivated by the theory of cluster algebras, have been extensively investigated and applied. In particular, the weighted surface algebras a
Externí odkaz:
http://arxiv.org/abs/2006.13075
We describe the structure and properties of the finite-dimensional symmetric algebras over an algebraically closed field $K$ which are socle equivalent to the general weighted surface algebras of triangulated surfaces, investigated in Erdmann and Sko
Externí odkaz:
http://arxiv.org/abs/2006.12923
Autor:
Erdmann, Karin, Skowroński, Andrzej
In [arXiv:1902.04063] we generalize the original definition of weighted surface algebras in [arXiv:1703.02346] by allowing the possibility that arrows might not be part of the Gabriel quiver, which gives a much larger class of algebras. This means th
Externí odkaz:
http://arxiv.org/abs/2005.05731
Autor:
Kasjan, Stanisław, Skowroński, Andrzej
In this survey we present the criterion for tameness of strongly simply connected algebras due to Br\"ustle, de la Pe\~na and Skowro\'nski. We recall relevant concepts of representation theory and discuss some applications and connections to other pr
Externí odkaz:
http://arxiv.org/abs/1905.06028
Autor:
Malicki, Piotr, Skowroński, Andrzej
We describe the representation theory of finitely generated indecomposable modules over artin algebras which do not lie on cycles of indecomposable modules involving homomorphisms from the infinite Jacobson radical of the module category.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1905.04908
Autor:
Skowroński, Andrzej, Yamagata, Kunio
We survey recent development of the study of finite-dimensional selfinjective algebras over a field which are socle equivalent to selfinjective orbit algebras of tilted type.
Externí odkaz:
http://arxiv.org/abs/1905.03492
Autor:
Erdmann, Karin, Skowronski, Andrzej
We introduce and study higher spherical algebras, an exotic family of finite-dimensional algebras over an algebraically closed field. We prove that every such an algebra is derived equivalent to a higher tetrahedral algebra studied in [7], an hence t
Externí odkaz:
http://arxiv.org/abs/1905.03205
Autor:
Erdmann, Karin, Skowroński, Andrzej
We introduce general weighted surface algebras of triangulated surfaces with arbitrarily oriented triangles and describe their basic properties. In particular, we prove that all these algebras, except the singular disc, triangle, tetrahedral and sphe
Externí odkaz:
http://arxiv.org/abs/1902.04063