AI 中文总结
研究辛列的逆约化映射，利用之前给出的因式分解及渡边对约化映射的写法，通过检测秩降一的辛列，避免映射复合，写出辛列上约化映射的逆。
AI 中文摘要
我们之前给出了在奇偶对合作用下辛列的一个因式分解，这使得能够明确写出量子Littlewood-Richardson双射中约化映射的逆。渡边将约化映射写成几个映射的复合，其中包括单列上的组合R - 矩阵和秩降低一的较短列上的约化映射。我们现在使用这种方法，通过检测秩降低一的相应辛列来写出辛列上约化映射的逆，从而避免经过几个映射的复合。
英文摘要
We have previously given a factorization of a symplectic column under the action of the parity involution which enabled to explicitly have written the inverse of the reduction map in the quantum Littlewood-Richardson bijection. Watanabe has written the reduction map as a composition of several maps, among them, combinatorial $R$-matrices on single columns and a reduction map on a shorter column with rank reduced by one. We now use this approach to write the inverse of the reduction map on a symplectic column by detecting the corresponding symplectic column of rank reduced by one and thus avoiding going through several map compositions.
Comments20 pages
