Subspaces, subsets, and Motzkin paths

Fuente: arXiv
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Main Authors: Farley, Jonathan D., Srinivasan, Murali K.
Format: Preprint
Published: 2024
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author Farley, Jonathan D.
Srinivasan, Murali K.
author_facet Farley, Jonathan D.
Srinivasan, Murali K.
contents We define a map from subspaces to Motzkin paths and show that the inverse image of every path is a disjoint union of symmetric Boolean subsets yielding an explicit symmetric Boolean decomposition of the subspace lattice.
format Preprint
id arxiv_https___arxiv_org_abs_2407_06559
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Subspaces, subsets, and Motzkin paths
Farley, Jonathan D.
Srinivasan, Murali K.
Combinatorics
We define a map from subspaces to Motzkin paths and show that the inverse image of every path is a disjoint union of symmetric Boolean subsets yielding an explicit symmetric Boolean decomposition of the subspace lattice.
title Subspaces, subsets, and Motzkin paths
topic Combinatorics
url https://arxiv.org/abs/2407.06559