English

Adjoint Functors, Projectivization, and Differentiation Algorithms for Representations of Partially Ordered Sets

Representation Theory 2012-01-04 v2 Rings and Algebras

Abstract

Adjoint functors and projectivization in representation theory of partially ordered sets are used to generalize the algorithms of differentiation by a maximal and by a minimal point. Conceptual explanations are given for the combinatorial construction of the derived set and for the differentiation functor

Keywords

Cite

@article{arxiv.1109.4157,
  title  = {Adjoint Functors, Projectivization, and Differentiation Algorithms for Representations of Partially Ordered Sets},
  author = {Mark Kleiner and Markus Reitenbach},
  journal= {arXiv preprint arXiv:1109.4157},
  year   = {2012}
}

Comments

Revised version, accepted for publication by the Journal of Algebra

R2 v1 2026-06-21T19:07:25.769Z