Universal central extensions of internal crossed modules via the non-abelian tensor product
DOI10.1007/s10485-020-09595-wOpenAlexW3098677476MaRDI QIDQ2024921
Davide di Micco, Tim Van der Linden
Publication date: 4 May 2021
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.02874
commutatorcrossed modulesemi-abelian categoryuniversal central extensioncrossed squarenon-abelian tensor product
Abelian categories, Grothendieck categories (18E10) Lie algebras and Lie superalgebras (17B99) Category of groups (20J15) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Structured objects in a category (group objects, etc.) (18C40) 2-groups, crossed modules, crossed complexes (18G45)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the ``Smith is Huq condition
- Relative commutator theory in semi-abelian categories
- Normalities and commutators
- Pure Galois theory in categories
- Van Kampen theorems for diagrams of spaces
- Some remarks on Maltsev and Goursat categories
- Galois theory and a general notion of central extension
- Smash product of pointed objects in lextensive categories
- Internal categories in Mal'cev categories
- Central extensions in semi-abelian categories
- Commutators and central extensions in universal algebra
- Central extensions in universal algebra: A unification of three notions
- A categorical approach to commutator theory
- The ternary commutator obstruction for internal crossed modules
- Universal central extensions in semi-abelian categories
- Protoadditive functors, derived torsion theories and homology
- Universal central extensions of Lie crossed modules over a fixed Lie algebra
- On the second cohomology group in semi-abelian categories
- Obstruction theory in algebraic categories. I
- Obstruction theory in algebraic categories. II
- Internal object actions in homological categories
- Groups with Multiple Operators
- An intrinsic approach to the non-abelian tensor product via internal crossed squares
- Algebraically coherent categories
- \(3\times 3\) lemma and protomodularity
- Semi-abelian categories
This page was built for publication: Universal central extensions of internal crossed modules via the non-abelian tensor product