English

Mixed standardization and Ringel duality

Representation Theory 2022-10-18 v3 Category Theory

Abstract

Dlab--Ringel's standardization method gives a realization of a standardly stratified algebra. In this paper, we construct mixed stratified algebras, which are a generalization of standardly stratified algebras, following Dlab--Ringel's standardization method. Moreover, we study a Ringel duality of mixed stratified algebras from the viewpoint of stratifying systems.

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Cite

@article{arxiv.2202.06057,
  title  = {Mixed standardization and Ringel duality},
  author = {Takahide Adachi and Mayu Tsukamoto},
  journal= {arXiv preprint arXiv:2202.06057},
  year   = {2022}
}

Comments

29 pages

R2 v1 2026-06-24T09:33:17.692Z