Hanpeng Gao

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math.RT2026

Projectively Wakamatsu Tilting Modules over One-Point Extensions

Dajun Liu, Jiaxuan Feng, Hanpeng Gao

Let $I^ = I^ [M]$ be the one-point extension of an algebra $I^$ by a $I^$ -module $M$ . We establish a method to lift projectively Wakamatsu tilting (PWT) modules from $\mathrm{mod}\,Î…

math.RT2026

A characterization of IE-closed subcategories via canonical twin support $I ¨ $ -tilting modules

Hanpeng Gao, Dajun Liu, Yu-Zhe Liu

Enomoto and Sakai classified IE-closed subcategories over hereditary algebras via twin rigid modules. However, this classification inherently relies on the vanishing of second exte…

Projectively Wakamatsu Tilting Modules over One-Point Extensions

A characterization of IE-closed subcategories via canonical twin support I¨-tilting modules

A characterization of IE-closed subcategories via canonical twin support $I ¨ $ -tilting modules