Isomorphisms of graded path algebras

DOI10.1090/proc/15425zbMath1482.16067arXiv1712.01650OpenAlexW2775793505MaRDI QIDQ5858369

Jason Gaddis

Publication date: 13 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01650

zbMATH Keywords

path algebraquivergraded algebra

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

• The discriminant controls automorphism groups of noncommutative algebras.
• The isomorphism problem for multiparameter quantized Weyl algebras.
• Superpotentials and higher order derivations.
• Quivers supporting twisted Calabi-Yau algebras
• Zariski cancellation problem for non-domain noncommutative algebras
• Growth of graded twisted Calabi-Yau algebras
• Zariski cancellation problem for noncommutative algebras
• Graded Calabi Yau algebras of dimension 3.
• The isomorphism problem for quantum affine spaces, homogenized quantized Weyl algebras, and quantum matrix algebras
• An isomorphism lemma for graded rings
• Isomorphism problems and groups of automorphisms for generalized Weyl algebras
• GRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULAR
• Isomorphisms of some quantum spaces
• Actions of some pointed Hopf algebras on path algebras of quivers

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