English

A note on Serre duality and equivariantization

Rings and Algebras 2017-10-10 v1 Algebraic Geometry Representation Theory

Abstract

For an abelian category with a Serre duality and a finite group action, we compute explicitly the Serre duality on the category of equivariant objects. Special cases and examples are discussed. In particular, an abelian category with a periodic Serre duality and its equivariantization are studied.

Keywords

Cite

@article{arxiv.1409.6864,
  title  = {A note on Serre duality and equivariantization},
  author = {Xiao-Wu Chen},
  journal= {arXiv preprint arXiv:1409.6864},
  year   = {2017}
}

Comments

Comments are welcome!

R2 v1 2026-06-22T06:04:29.551Z