Jie Li

collaborators

4 papers

math.RT2025

Derived Representation Type and Field Extensions

Jie Li, Chao Zhang

Let $A$ be a finite-dimensional algebra over a field $k$ . We define $A$ to be $C$ -dichotomic if it has the dichotomy property of the representation type on complexes of pr…

math.RT2025

Piecewise hereditary algebras under field extensions

Jie Li

Let $A$ be a finite-dimensional $k$ -algebra and $K / k$ be a finite separable field extension. We prove that $A$ is derived equivalent to a hereditary algebra if and only if so is $A…

math.RT2025

The derived-discrete algebras over the real numbers

Jie Li

We classify derived-discrete algebras over the real numbers up to Morita equivalence, using the classification of complex derived-discrete algebras in [{\sc D. Vossieck}, {\em The…

math.RT2025

Algebra extensions and derived-discrete algebras

Jie Li

Let $I ¨ : A \to B$ be an algebra extension. We prove that if $I ¨ $ is split, the derived-discreteness of $A$ implies the derived-discreteness of $B$ ; if $I ¨ $ is separable…