تقرير
The Hochschild cohomology ring of monomial algebras
| العنوان: | The Hochschild cohomology ring of monomial algebras |
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| المؤلفون: | Artenstein, Dalia, Letz, Janina C., Oswald, Amrei, Solotar, Andrea |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, 16E40 (primary), 18G10 |
| الوصف: | We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomology. Then, we prove that the cup product is zero in positive degrees for triangular monomial algebras. Our proof uses the graded-commutativity of the cup product on Hochschild cohomology and does not rely on explicit computation of the Hochschild cohomology modules. Comment: 20 pages; minor edits for v2; to appear in Journal of Algebra |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2024.04.019 |
| URL الوصول: | http://arxiv.org/abs/2312.14699 |
| رقم الأكسشن: | edsarx.2312.14699 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.jalgebra.2024.04.019 |
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