论文标题
LR-Tableaux上二进制操作的组合算法，条目等于1，应用到Nilpotent线性操作员
Combinatorial algorithms for binary operations on LR-tableaux with entries equal to 1 with applications to nilpotent linear operators
论文作者
论文摘要
在论文中，我们研究了集合$ \ Mathcal {lr} _1 $的Littlewood-Richardson Tableaux的算法关联二进制操作$*$，其条目等于一个。 We extend $*$ to an algorithmic nonassociative binary operation on the set $\mathcal{LR}_1\times \mathbb{N}$ and show that it is equivalent to the operation of taking the generic extensions of objects in the category of homomorphisms from semisimple nilpotent linear operators to nilpotent linear operators.因此，我们在此类别中获得了组合算法计算通用扩展。
In the paper we investigate an algorithmic associative binary operation $*$ on the set $\mathcal{LR}_1$ of Littlewood-Richardson tableaux with entries equal to one. We extend $*$ to an algorithmic nonassociative binary operation on the set $\mathcal{LR}_1\times \mathbb{N}$ and show that it is equivalent to the operation of taking the generic extensions of objects in the category of homomorphisms from semisimple nilpotent linear operators to nilpotent linear operators. Thus we get a combinatorial algorithm computing generic extensions in this category.
