An operadic approach to internal structures

Stephen Lack*, Simona Paoli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We study internal structures in the category of algebras for an operad, and show that these themselves admit an operadic description. The main case of interest is where the operad is on an abelian category, and the internal structures in question are those of internal category, internaln-category, or internal (cubical) n-tuple category. This allows an operadic treatment of crossed modules and other crossed structures.

Original languageEnglish
Pages (from-to)205-222
Number of pages18
JournalApplied Categorical Structures
Volume13
Issue number3
DOIs
Publication statusPublished - Jun 2005
Externally publishedYes

Keywords

  • crossed module
  • internal category
  • internal double category
  • operad

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