TY - JOUR
T1 - 3-Preprojective algebras of type D
AU - Haden, Jordan
N1 - Data Availability Statement: No datasets were generated or analysed during the current study.
Funding information: This paper was written while the author was in reciept of a PhD studentship from the University of East Anglia.
PY - 2024/11/16
Y1 - 2024/11/16
N2 - We present a family of selfinjective algebras of type D, which arise from the 3-preprojective algebras of type A by taking a ℤ3-quotient. We show that a subset of these are themselves 3-preprojective algebras, and that the associated 2-representation-finite algebras are fractional Calabi-Yau. In addition, we show our work is connected to modular invariants for SU(3).
AB - We present a family of selfinjective algebras of type D, which arise from the 3-preprojective algebras of type A by taking a ℤ3-quotient. We show that a subset of these are themselves 3-preprojective algebras, and that the associated 2-representation-finite algebras are fractional Calabi-Yau. In addition, we show our work is connected to modular invariants for SU(3).
KW - 16D50
KW - 16E35
KW - 16S35
KW - 2-Representation-finite
KW - 3-Preprojective
KW - Fractional Calabi-Yau
KW - Jacobian algebras
KW - SU(3) modular invariants
UR - http://www.scopus.com/inward/record.url?scp=85209131514&partnerID=8YFLogxK
U2 - 10.1007/s10468-024-10297-3
DO - 10.1007/s10468-024-10297-3
M3 - Article
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
SN - 1386-923X
ER -