Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations

Details Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations

2009-02-13

arxiv.org/abs/0902.2286v2

Letters in Mathematical Physics 89 (2009) 51-65

Mathematics

Quantum Algebra

16 pages, final version, minor revision

Scientific paper

10.1007/s11005-009-0318-3

There are two distinct approaches to the study of initial value problem of
the periodic box-ball systems. One way is the rigged configuration approach due
to Kuniba--Takagi--Takenouchi and another way is the 10-elimination approach
due to Mada--Idzumi--Tokihiro. In this paper, we describe precisely
interrelations between these two approaches.

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