Chinese Quarterly Journal of Mathematics ›› 2026, Vol. 41 ›› Issue (1): 60-67.doi: 10.13371/j.cnki.chin.q.j.m.2026.01.005

Previous Articles     Next Articles

A New Construction of Stefan’s Homological Spectral Sequence

  

  1. School of Mathematics, Yangzhou University, Yangzhou 225002, China
  • Received:2025-06-27 Online:2026-03-30 Published:2026-03-30
  • About author:LIU Li-yu (1984-), male, native of Jiangsu, associate professor of Yangzhou University, engages in algebra.
  • Supported by:
    Supported by National Natural Science Foundation of China (Grant No. 11971418).

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

CLC Number: