From TEXTBACKSLASHmathboldTEXTBACKSLASHi-boxes to signed words
Abstract
The combinatorics of i -boxes has recently been introduced by Kashiwara, Kim, Oh and Park in the study of cluster algebras arising from the representation theory of quantum affine algebras.In this article, we associate to each chain of i -boxes a signed word, which canonically determines a cluster seed, following Berenstein, Fomin and Zelevinsky.By bridging these two different languages, we are able to provide a quick solution to the problem of explicitly determining the exchange matrices associated with chains of i -boxes.1. Introduction 63 2. Combinatorics of i -boxes 66 3. Signed words 71 4. Comparison of matrices 72 References 77
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Quantum Computing Algorithms and Architecture
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 342
- Issue
- 1
- Pages
- 63–78
- Publication date
- 23 March 2026
- Language
- EN