Deformed mesh algebras of Dynkin type 𝔽4

DOI10.1142/S0219498820500498zbMath1444.16006arXiv1810.05205OpenAlexW2912148032WikidataQ114614719 ScholiaQ114614719MaRDI QIDQ4960279

Jerzy Białkowski

Publication date: 14 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05205

zbMATH Keywords

periodic algebraself-injective algebracanonical mesh algebradeformed mesh algebra

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Cohen-Macaulay modules in associative algebras (16G50) Representations of quivers and partially ordered sets (16G20)

Related Items (1)

An algorithm for the periodicity of deformed preprojective algebras of Dynkin types \(\mathbb{E}_6\), \(\mathbb{E}_7\) and \(\mathbb{E}_8\)

Uses Software

• classifyCeq.lib

Cites Work

• Unnamed Item
• Deformed preprojective algebras of generalized Dynkin type \(\mathbb L_n\): classification and symmetricity.
• Resolutions of mesh algebras: periodicity and Calabi-Yau dimensions.
• Frobenius algebras. I: Basic representation theory.
• Simple singularities in positive characteristic
• Einfache Kurvensingularitäten in beliebiger Charakteristik
• Periodic resolutions and self-injective algebras of finite type.
• Weighted surface algebras
• Socle deformations of selfinjective algebras of tubular type.
• Algebras of generalized quaternion type
• Deformed mesh algebras of Dynkin type C_n
• Deformed preprojective algebras of generalized Dynkin type
• Deformed preprojective algebras of Dynkin type E6
• Socle deformed preprojective algebras of generalized Dynkin type
• The periodicity conjecture for blocks of group algebras

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