The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866908691723190272 |
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| author | Aristov, Oleg |
| author_facet | Aristov, Oleg |
| contents | The Arens-Michael envelope of the universal enveloping algebra of a finite-dimensional complex Lie algebra is a homological epimorphism if and only if the Lie algebra is solvable. The necessity was proved by Pirkovskii in [Proc. Amer. Math. Soc. 134, 2621--2631, 2006]. We prove the sufficiency. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_19433 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism Aristov, Oleg Functional Analysis K-Theory and Homology Rings and Algebras The Arens-Michael envelope of the universal enveloping algebra of a finite-dimensional complex Lie algebra is a homological epimorphism if and only if the Lie algebra is solvable. The necessity was proved by Pirkovskii in [Proc. Amer. Math. Soc. 134, 2621--2631, 2006]. We prove the sufficiency. |
| title | The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism |
| topic | Functional Analysis K-Theory and Homology Rings and Algebras |
| url | https://arxiv.org/abs/2404.19433 |