Basis Partitions and Their Signature

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Author: Alladi, Krishnaswami
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214178
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Basis Partitions and Their Signature. Krishnaswami Alladi. SIGMA 21 (2025), 104, 17 pages

Basis partitions are minimal partitions corresponding to successive rank vectors. We show combinatorially how basis partitions can be generated from primary partitions, which are equivalent to the Rogers-Ramanujan partitions. This leads to the definition of a signature of a basis partition that we u...