{"paper":{"title":"Hochschild (Co)Homology of Exterior Algebras using AMT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.KT","math.RA"],"primary_cat":"math.AT","authors_text":"Ale\\v{s} Vavpeti\\v{c}, Leon Lampret","submitted_at":"2015-12-27T22:15:41Z","abstract_excerpt":"In 'Hochschild (co)homology of exterior algebras' (Han, Xu, 2007), the authors computed the additive and multiplicative structure of $H\\!H^\\ast\\!(A;\\!A)$, where $A$ is the $n$-th exterior algebra over a field. In this paper, we derive all their results using a different method (AMT), as well as calculate the additive structure of $H\\!H_k\\!(A;\\!A)$ and $H\\!H^k\\!(A;\\!A)$ over $\\mathbb{Z}$. We provide concise presentations of algebras $H\\!H_\\ast\\!(A;\\!A)$ and $H\\!H^\\ast\\!(A;\\!A)$, as well as determine their generators in the Hochschild complex. Lastly, we compute an explicit free resolution (span"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08283","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}