On Takeuchi's correspondence

Serge Skryabin

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arXiv · 2501.06045

On Takeuchi's correspondence

Serge Skryabin

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Abstract

In this paper we review the Takeuchi correspondence between right coideal subalgebras and left $H$-module factor coalgebras of a Hopf algebra with bijective antipode. We are especially interested to describe the situation when the faithfulness assumption in the conditions of flatness and coflatness is dropped. This study was motivated by several questions which remain open.

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Serge Skryabin. 2025-01-10. On Takeuchi's correspondence. https://arxiv.org/abs/2501.06045

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