3 papers
math.RT2026
A note on a homological epimorphism whose source is a piecewise hereditary algebra
Takuma Aihara
We study a homological epimorphism of proper dg algebras and show that if the source is a finite dimensional piecewise hereditary algebra, then the target is derived equivalent to…
math.RT2025
Examples of tilting-discrete symmetric algebras
Takuma Aihara
We give several examples of tilting-discrete symmetric algebras; in particular, one explores which algebra has tilting-discrete trivial extension. We provide a counter example of t…
physics.optics2025
Chiral Diffraction from Aperiodic Monotile Lattice
Yuto Moritake, Masato Takiguchi, Takuma Aihara +1
Aperiodic systems such as quasiperiodic systems exhibit unique properties different from periodic structures. In 2023, Smith et al. discovered a new aperiodic structure: a single-s…