3 papers
math.RT2026
Super-decomposable pure-injective modules over some Jacobian algebras
Shantanu Sardar
Existence of superdecomposable pure-injective modules reflects complexity in the category of finite-dimensional representations over an algebra. Such an existence occurs when an al…
math.RT2026
Krull-Gabriel dimension of Skew group algebras
Shantanu Sardar
For an algebraically closed field K, let G be a finite abelian group of K-linear automorphisms of a finite-dimensional algebra A and AG is the associated skew group algebra. The au…
math.RT2025
On the Irreducible Morphisms for Skew group algebras
Shantanu Sardar, Alfredo Gonzalez Chaio, Sonia Trepode
For an algebraically closed field K, let G be a finite abelian group of K-linear automorphisms of a finite-dimensional path algebra KQ of a quiver Q. Under certain assumptions on t…