A New Construction of Stefan’s Homological Spectral Sequence

LIU Li-yu

doi:10.13371/j.cnki.chin.q.j.m.2026.01.005

Chinese Quarterly Journal of Mathematics >

2026 , Vol. 41 >Issue 1: 60 - 67

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2026.01.005

A New Construction of Stefan’s Homological Spectral Sequence

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School of Mathematics, Yangzhou University, Yangzhou 225002, China

LIU Li-yu (1984-), male, native of Jiangsu, associate professor of Yangzhou University, engages in algebra.

Received date: 2025-06-27

Online published: 2026-03-30

Supported by

Supported by National Natural Science Foundation of China (Grant No. 11971418).

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Abstract

In this paper, we offer a new construction of Stefan’s homological spectral sequence for Hopf Galois extensions, by using the double complex argument. Under the faithfully flat condition, a method for computation of Hochschild homology is given.

Key words： Hopf algebra; Hopf Galois extension; spectral sequence; Hochschild homology

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LIU Li-yu . A New Construction of Stefan’s Homological Spectral Sequence[J]. Chinese Quarterly Journal of Mathematics, 2026 , 41(1) : 60 -67 . DOI: 10.13371/j.cnki.chin.q.j.m.2026.01.005

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