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Author:

Hu, Yonggang (Hu, Yonggang.) | Yao, Hailou (Yao, Hailou.) (Scholars:姚海楼)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we introduce the notion of G-invariant recollements. Moreover, a series of examples of G-invariant recollements are provided. It is shown that each G-invariant recollement of derived categories of algebras induces that of skew group algebras. Applying this reuslt, we show that K-group decompositions and singularity equivalences can be preserved by taking skew group algebras.

Keyword:

singularity category Recollement derived category skew group algebra algebraic K-theory

Author Community:

  • [ 1 ] [Hu, Yonggang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Yao, Hailou]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Hu, Yonggang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

RESULTS IN MATHEMATICS

ISSN: 1422-6383

Year: 2020

Issue: 1

Volume: 75

2 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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