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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2507.15726 |
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| _version_ | 1866911295831277568 |
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| author | Galindo, César |
| author_facet | Galindo, César |
| contents | We give an elementary proof of the Eilenberg-Mac Lane trace isomorphism between the third 2-abelian cohomology group and quadratic forms. Our approach yields explicit constructions and we characterize when quadratic forms can be expressed as traces of bilinear forms for arbitrary coefficient groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15726 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Note on the Eilenberg-Mac Lane Isomorphism for Quadratic Forms Galindo, César Category Theory We give an elementary proof of the Eilenberg-Mac Lane trace isomorphism between the third 2-abelian cohomology group and quadratic forms. Our approach yields explicit constructions and we characterize when quadratic forms can be expressed as traces of bilinear forms for arbitrary coefficient groups. |
| title | A Note on the Eilenberg-Mac Lane Isomorphism for Quadratic Forms |
| topic | Category Theory |
| url | https://arxiv.org/abs/2507.15726 |