Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915717186584576 |
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| author | Liu, Yuming Xing, Bohan |
| author_facet | Liu, Yuming Xing, Bohan |
| contents | We use algebraic Morse theory to generalize the parallel paths method for computing the first Hochschild cohomology groups. As an application, we describe and compare the Lie structures of the first Hochschild cohomology groups of Brauer graph algebras and their associated graded algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14372 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras Liu, Yuming Xing, Bohan Rings and Algebras 16E40, 16Gxx We use algebraic Morse theory to generalize the parallel paths method for computing the first Hochschild cohomology groups. As an application, we describe and compare the Lie structures of the first Hochschild cohomology groups of Brauer graph algebras and their associated graded algebras. |
| title | Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras |
| topic | Rings and Algebras 16E40, 16Gxx |
| url | https://arxiv.org/abs/2306.14372 |