Concept Lattice Orbifolds --- First Steps

Authors:
Daniel Borchmann;Bernhard Ganter
Affiliations:
Institut für Algebra, Technische Universität Dresden,;Institut für Algebra, Technische Universität Dresden,
Venue:
ICFCA '09 Proceedings of the 7th International Conference on Formal Concept Analysis
Year:
2009

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Abstract

Concept lattices with symmetries may be simplified by "folding" them along the orbits of their automorphism group. The resulting diagram is often more intuitive than the full lattice diagram, but well defined annotations are required to make the folded diagram as informative as the original one. The folding procedure can be extended to formal contexts. A typical situation where such lattice foldings are useful is when hierarchies of structures are considered "up to isomorphisms".