The tensor product decomposition of crystal bases of type $A$ and K-haves (Computer Algebra : Foundations and Applications)

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Other Title
  • $A$型結晶基底のテンソル積分解とK-hive
  • Aガタ ケッショウ キテイ ノ テンソル セキ ブンカイ ト K-hive

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Description

We provide a new method of the tensor product decomposition of crystal bases of type An-1 using a combinatorial object called K-hives. To provide this method, we define some operators on K-hives. Then it allows us to understand the decomposition method graphically. Since this problem is understood by Young tableaux combinatorics, we can obtain an operation for decomposition on K-hives as an analogy to the insertion algorithm in Young tableaux.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2224 20-31, 2022-06

    京都大学数理解析研究所

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