|Dept.||Oska City University|
We construct a surjection from a Littlewood-Richardson (LR) crystal of Cn-type to the direct sum of the Cartesian product of LR crystals of An−1-type, which provides an interpretation of a formula on branching rule of Cn-type. This is the main theorem.
In this talk, starting by giving the definition of Kashiwara crystals, we give the definition of LR crystals.
Then, a map for a semistandard tableau of Cn-type that satisfies Kashiwara-Nakashima condition is constructed.
By using this map, we state the main theorem.
The outline of the proof is also presented.