A note on higher structures on the complexes associated to quiver algebras with applications to toupie algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916089151094784 |
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| author | Liu, Yuming Xing, Bohan |
| author_facet | Liu, Yuming Xing, Bohan |
| contents | In this paper, we summarize a general method of transforming DG structures into higher structures on the various complexes related to the reduced bar resolution of a given quiver algebra using algebraic Morse theory. As an application, we describe the $A_\infty$-structures of toupie algebras. Additionally, for certain special toupie algebras, we also prove that their double homological duals are isomorphic to their associated graded algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06429 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on higher structures on the complexes associated to quiver algebras with applications to toupie algebras Liu, Yuming Xing, Bohan Representation Theory 16E45, 18G15 In this paper, we summarize a general method of transforming DG structures into higher structures on the various complexes related to the reduced bar resolution of a given quiver algebra using algebraic Morse theory. As an application, we describe the $A_\infty$-structures of toupie algebras. Additionally, for certain special toupie algebras, we also prove that their double homological duals are isomorphic to their associated graded algebras. |
| title | A note on higher structures on the complexes associated to quiver algebras with applications to toupie algebras |
| topic | Representation Theory 16E45, 18G15 |
| url | https://arxiv.org/abs/2401.06429 |