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홈 > 학술정보 >학술행사 > 세미나
2017 서울대학교 수리과학부 세미나

Title
Crystal interpretation of a formula on the branching rule of C_n-type
Speaker
Toya Hiroshima   (Oska City University )
Date
2017-04-11 16:00:00
Host
SNU
Place
129-301
Abstract
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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