Experimenting with the Garsia-Milne Involution Principle

In 1981, Adriano Garsia and Steve Milne found the first bijective proof of the celebrated Rogers-Ramanujan identities. To achieve this feat, they invented a versatile tool that they called the Involution Principle. In this note we revisit this useful principle from a very general perspective, independent of its application to specific combinatorial identities, and will explore its complexity.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2025-03-04
DOI
https://doi.org/10.3842/sigma.2025.015
Primary Topic
Morphological variations and asymmetry
Type
article
Field-Weighted Citation Impact
0.00
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article

Experimenting with the Garsia-Milne Involution Principle

Shalosh B. Ekhad, Doron Zeilberger
Symmetry Integrability and Geometry Methods and Applications
Morphological variations and asymmetry
article

Experimenting with the Garsia-Milne Involution Principle

Shalosh B. Ekhad, Doron Zeilberger
article en

Abstract

In 1981, Adriano Garsia and Steve Milne found the first bijective proof of the celebrated Rogers-Ramanujan identities. To achieve this feat, they invented a versatile tool that they called the Involution Principle. In this note we revisit this useful principle from a very general perspective, independent of its application to specific combinatorial identities, and will explore its complexity.

Symmetry Integrability and Geometry Methods and Applications
Openalex Percentile: Top 92%
Morphological variations and asymmetry
DOIOpen Access PDFOpenAlex
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Experimenting with the Garsia-Milne Involution Principle — Shalosh B. Ekhad, Doron Zeilberger · Symmetry Integrability and Geometry Methods and Applications (2025) | TGRS Research Map | TGRS