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arXiv · 2208.10774

Milnor-Moore theorems for bialgebras in characteristic zero

Joey Beauvais-Feisthauer·Yatin Patel·Andrew Salch
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Abstract

Over fields of characteristic zero, we construct equivalences between certain categories of bialgebras which are generated by grouplikes and generalized primitives, and certain categories of structured Lie algebras. The relevant families of bialgebras include many which are not connected, and which fail to admit antipodes.

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Joey Beauvais-Feisthauer, Yatin Patel, Andrew Salch. 2022-08-23. Milnor-Moore theorems for bialgebras in characteristic zero. https://arxiv.org/abs/2208.10774

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