Quantum van Est Isomorphism
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910419978813440 |
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| author | Kaygun, Atabey Sütlü, Serkan |
| author_facet | Kaygun, Atabey Sütlü, Serkan |
| contents | Motivated by the fact that the Hopf-cyclic (co)homologies of function algebras over Lie groups and universal enveloping algebras over Lie algebras capture the Lie group and Lie algebra (co)homologies, we hereby upgrade the classical van Est isomorphism to ones between the Hopf-cyclic (co)homologies of quantized algebras of functions and quantized universal enveloping algebras, both in $h$-adic and $q$-deformation frameworks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02828 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quantum van Est Isomorphism Kaygun, Atabey Sütlü, Serkan Quantum Algebra K-Theory and Homology 16E40, 16T05, 17B37, 17B56, 20G42, 22E41 Motivated by the fact that the Hopf-cyclic (co)homologies of function algebras over Lie groups and universal enveloping algebras over Lie algebras capture the Lie group and Lie algebra (co)homologies, we hereby upgrade the classical van Est isomorphism to ones between the Hopf-cyclic (co)homologies of quantized algebras of functions and quantized universal enveloping algebras, both in $h$-adic and $q$-deformation frameworks. |
| title | Quantum van Est Isomorphism |
| topic | Quantum Algebra K-Theory and Homology 16E40, 16T05, 17B37, 17B56, 20G42, 22E41 |
| url | https://arxiv.org/abs/2205.02828 |