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math.RT2026
Rigidity of higher Auslander algebras of type
Sibylle Schroll, Andrea Solotar, Can Wen
We show that the Hochschild cohomology of higher Auslander algebras of type vanishes in all positive degrees and is one-dimensional in degree zero. As a consequence, t…
math.RT2026
On geometric models in representation theory
Sibylle Schroll
Geometric models have emerged as an important tool in the representation theory of algebras. Surface models associated to gentle algebras have been particularly fruitful in advanci…
math.RT2026
Hochschild cohomology of graded skew-gentle algebras: Gerstenhaber algebra structure and geometric interpretation
Xiuli Bian, Sibylle Schroll, Andrea Solotar +2
In this paper we calculate the Hochschild cohomology of graded skew-gentle algebras, together with its structure as graded commutative algebra under the cup product and its Lie alg…