Date | 2017-04-11 |
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Speaker | Toya Hiroshima |

Dept. | Oska City University |

Room | 129-301 |

Time | 16:00-19:00 |

We construct a surjection from a Littlewood-Richardson (LR) crystal of C_{n}-type to the direct sum of the Cartesian product of LR crystals of A_{n−1}-type, which provides an interpretation of a formula on branching rule of C_{n}-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 C_{n}-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.

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