The Poset Algebra: Obstruction Hierarchy of Bender-Knuth Toggles on Finite Posets

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Main Author: Silva Alvarado, Juan Pablo
Format: Recurso digital
Language:English
Published: Zenodo 2026
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author Silva Alvarado, Juan Pablo
author_facet Silva Alvarado, Juan Pablo
contents <p>Four papers and computational engine establishing the Poset Algebra A(P) — a new algebraic family generated<br>   by Bender-Knuth toggles on linear extensions, with universal relation D(D-2)(D+2)=0. Contains: (1) V-shape<br>  characterization of the braid relation, (2) Poset Algebra definition and universal functor, (3) obstruction cohomology<br>  with quantized eigenvalues and spectral hierarchy, (4) physical observables including parameter-free mass predictions.<br>  Includes ladder.rs computational engine with 765x benchmark speedup.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19218909
institution Zenodo
language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle The Poset Algebra: Obstruction Hierarchy of Bender-Knuth Toggles on Finite Posets
Silva Alvarado, Juan Pablo
poset algebra
Bender-Knuth toggles
linear extensions
braid relation
V-shape obstruction
Kirchhoff determinant
toggle group
spectral hierarchy
<p>Four papers and computational engine establishing the Poset Algebra A(P) — a new algebraic family generated<br>   by Bender-Knuth toggles on linear extensions, with universal relation D(D-2)(D+2)=0. Contains: (1) V-shape<br>  characterization of the braid relation, (2) Poset Algebra definition and universal functor, (3) obstruction cohomology<br>  with quantized eigenvalues and spectral hierarchy, (4) physical observables including parameter-free mass predictions.<br>  Includes ladder.rs computational engine with 765x benchmark speedup.</p>
title The Poset Algebra: Obstruction Hierarchy of Bender-Knuth Toggles on Finite Posets
topic poset algebra
Bender-Knuth toggles
linear extensions
braid relation
V-shape obstruction
Kirchhoff determinant
toggle group
spectral hierarchy
url https://doi.org/10.5281/zenodo.19218909