Tame and wild projective curves and classification of vector bundles

YA Drozd, GM Greuel - Journal of Algebra, 2001 - Elsevier
We propose a new method of classifying vector bundles on projective curves, especially
singular ones, according to their “representation type.” In particular, we prove that the …

[HTML][HTML] The representation type of Jacobian algebras

C Geiß, D Labardini-Fragoso, J Schröer - Advances in Mathematics, 2016 - Elsevier
We show that the representation type of the Jacobian algebra P (Q, S) associated to a 2-
acyclic quiver Q with non-degenerate potential S is invariant under QP-mutations. We prove …

Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type

T Holm - Journal of Algebra, 1999 - Elsevier
Algebras of dihedral, semidihedral, and quaternion type were introduced by K. Erdmann as
a generalization of blocks of finite groups of tame representation type. In a series of papers …

Periodic algebras

K Erdmann, A Skowronski - Trends in representation theory of algebras …, 2008 - ems.press
We fix an algebraically closed field K. All algebras in this article are finite dimensional
associative K-algebras with identity (unless specified otherwise). Usually a fixed algebra A …

[HTML][HTML] Weighted surface algebras

K Erdmann, A Skowroński - Journal of Algebra, 2018 - Elsevier
A finite-dimensional algebra A over an algebraically closed field K is called periodic if it is
periodic under the action of the syzygy operator in the category of AA-bimodules. The …

Tame algebras and Tits quadratic forms

T Brüstle, JA de la Peña, A Skowroński - Advances in Mathematics, 2011 - Elsevier
Tame algebras and Tits quadratic forms Page 1 Advances in Mathematics 226 (2011) 887–951
www.elsevier.com/locate/aim Tame algebras and Tits quadratic forms Thomas Brüstlea,b,1 …

Derived equivalences between skew-gentle algebras using orbifolds

C Amiot, T Brüstle - Documenta Mathematica, 2022 - ems.press
Skew-gentle algebras are skew-group algebras of gentle algebras equipped with a certain
Z2-action. Building on the bijective correspondence between gentle algebras and dissected …

[HTML][HTML] Weighted surface algebras: general version

K Erdmann, A Skowroński - Journal of Algebra, 2020 - Elsevier
We introduce the general weighted surface algebras of triangulated surfaces with arbitrarily
oriented triangles and describe their basic properties. In particular, we prove that all these …

Representation type of Schur algebras

SR Doty, K Erdmann, S Martin, DK Nakano - Mathematische Zeitschrift, 1999 - Springer
We give a complete classification of the classical Schur algebras and the infinitesimal Schur
algebras which have tame representation type. In combination with earlier work of some of …

On geometric degenerations and Gerstenhaber formal deformations

S Chouhy - Bulletin of the London Mathematical Society, 2019 - Wiley Online Library
We study the degeneration relations on the varieties of associative and Lie algebra
structures on a fixed finite‐dimensional vector space and give a description of them in terms …