Faithful flatness of Hopf algebras over coideal subalgebras with a bimodule conditional expectation
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912579891232768 |
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| author | Bichon, Julien |
| author_facet | Bichon, Julien |
| contents | We give a direct and self-contained proof that if $H$ is a Hopf algebra and $A\subset H$ is a right coideal subalgebra such $A$ is a direct summand in $H$ as an $A$-bimodule, then $H$ is faithfully flat as a left and right $A$-module. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05480 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Faithful flatness of Hopf algebras over coideal subalgebras with a bimodule conditional expectation Bichon, Julien Quantum Algebra Rings and Algebras We give a direct and self-contained proof that if $H$ is a Hopf algebra and $A\subset H$ is a right coideal subalgebra such $A$ is a direct summand in $H$ as an $A$-bimodule, then $H$ is faithfully flat as a left and right $A$-module. |
| title | Faithful flatness of Hopf algebras over coideal subalgebras with a bimodule conditional expectation |
| topic | Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2301.05480 |