Daniel Perniok

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math.RT2026

Double Hall algebras and derived equivalences revisited

Igor Burban, Daniel Perniok

Let $k$ be a finite field and $A, B$ be $k$ -linear $Ext$ -finite hereditary abelian categories. A theorem of Cramer asserts that, unde…

math.RT2025

Coxeter-Dynkin algebras of canonical type

Daniel Perniok

We propose a definition of Coxeter-Dynkin algebras of canonical type generalising the definition as a path algebra of a quiver. Moreover, we construct two tilting objects over the…