Liyu Liu

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math.RA2026

Ştefan spectral sequence for faithfully flat Hopf Galois extensions is multiplicative

Liyu Liu, Hongguang Nie, Guodong Zhou +1

Let $H$ be a Hopf algebra with a bijective antipode over a field $k$ and $B / A$ be a flat right $H$ -Galois extension. Ştefan constructed a spectral sequence converging to th…

math.RA2025

Cup Products on Hochschild Cohomology of Hopf-Galois Extensions.pdf

Liyu Liu, Wei Ren, Shengqiang Wang

In this paper, we give an explicit chain map, which induces the algebra isomorphism between the Hochschild cohomology $HH^{∙} (B)$ and the $H$ -invariant subalgebra ${\bf…