reposiTUm: Arrow relations in lattices of integer partitions

Record link:

http://hdl.handle.net/20.500.12708/204762

Title:

Arrow relations in lattices of integer partitions

Citation:

Almazaydeh, A., Behrisch, M., Vargas-García, E., & Wachtel, A. (2024, September 10). Arrow relations in lattices of integer partitions [Conference Presentation]. 1st International Joint Conference on Conceptual Knowledge Structures (CONCEPTS2024), Cádiz, Spain. http://hdl.handle.net/20.500.12708/204762

Publication Type:

Presentation - Conference Presentation

Language:

English

Authors:

Almazaydeh, Asma
Behrisch, Mike
Vargas-García, Edith
Wachtel, Andreas

Organisational Unit:

E104-01 - Forschungsbereich Algebra

Date (published):

10-Sep-2024

Event name:

1st International Joint Conference on Conceptual Knowledge Structures (CONCEPTS2024)

Event date:

9-Sep-2024 - 13-Sep-2024

Event place:

Cádiz, Spain

Keywords:

integer partition; lattice; dominance order; arrow relation; subdirect representation

Abstract:

We give a complete characterisation of the single and double arrow relations of the standard context 𝕂(𝓛ₙ) of the lattice 𝓛ₙ of partitions of any positive integer 𝑛 under the dominance order, thereby addressing an open question of Ganter, 2020/2022.

Project (external):

Asociación Mexicana de Cultura A.C.

Later published as:

10.1016/j.ijar.2024.109244

Research Areas:

Mathematical and Algorithmic Foundations: 5%
Fundamental Mathematics Research: 95%

Science Branch:

1020 - Informatik: 5%
1010 - Mathematik: 95%

Appears in Collections:

Presentation

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