论文标题
列出异常形状的列表
Enumeration of Tableaux of Unusual Shapes
论文作者
论文摘要
在这篇论文中，我们列举了某些截短的偏斜形状的标准年轻Tableaux（SYT），我们称之为电池形状。这是出于国际象棋问题的动机。在列举国际象棋问题中，解决方案中的一组移动是（通常）是独一无二的，但顺序不是。计算可行排列的任务可以通过解决列举组合学中的等效问题来完成。几乎所有此类问题都是一种特殊类型，称为串联搬家。在本文中，我们使用广义超几何函数来枚举电池形状的SYT，从而解决了布坎南提出的国际象棋问题。
In this thesis we enumerate standard young tableaux (SYT) of certain truncated skew shapes, which we call battery shapes. This is motivated by a chess problem. In an enumerative chess problem, the set of moves in the solution is (usually) unique, but the order is not. The task of counting the feasible permutations may be accomplished by solving an equivalent problem in enumerative combinatorics. Almost all such problems have been of a special type known as series movers. In this thesis we use generalized hypergeometric functions to enumerate SYT of battery shapes, and thus solve a chess problem posed by Buchanan.
