activity
19982023
most citedAlgebras of generalized dihedral type

16 citations · 70 across the 36 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

math.RT2019

Representation type of Borel-Schur algebras

Karin Erdmann, Ana Paula Santana, Ivan Yudin

In our previous work arXiv:1306.1770, we found all Borel-Schur algebra of finite representation type. In the present article, we determine which Borel-Schur algebras of infinite re…

math.RA2019

Modules of constant Jordan type over quantum complete intersections

Petter Andreas Bergh, Karin Erdmann, David A. Jorgensen

We initiate the study of modules of constant Jordan type for quantum complete intersections, and prove a range of basic properties. We then show that for these algebras, constant J…

math.RT2019

Higher Spherical Algebras

Karin Erdmann, Andrzej Skowronski

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…

math.RT2019

Cohomology of some local selfinjective algebras

Karin Erdmann

We show that the cohomology for some 2-generated selfinjective algebras is finitely generated. This applies in particular to the algebras for in the classificatio…

math.RT2019

Cluster tilting modules for mesh algebras

Karin Erdmann, Sira Gratz, Lisa Lamberti

We study cluster tilting modules in mesh algebras of Dynkin type, providing a new proof for their existence. In all but one case, we show that these are precisely the maximal rigid…

math.RT2019

Weighted surface algebras: general version

Karin Erdmann, Andrzej Skowroński

We introduce general weighted surface algebras of triangulated surfaces with arbitrarily oriented triangles and describe their basic properties. In particular, we prove that all th…