我有两个表，类别和产品。Categories 表是一个嵌套的集合模型。Products 表有一个唯一serial_number的字段。他们的架构是这样的：
分类：
+----+-----------+-----+-----+-------+-------------+
| id | parent_id | lft | rgt | depth | title |
+----+-----------+-----+-----+-------+-------------+
| 1 | Null | 2 | 9 | 0 | Cloth |
| 2 | 1 | 3 | 6 | 1 | Men's |
| 3 | 2 | 4 | 5 | 2 | Suits |
| 4 | 1 | 7 | 8 | 1 | Women's |
| 5 | Null | 10 | 13 | 0 | Electronics |
| 6 | 5 | 11 | 12 | 1 | TVs |
+----+-----------+-----+-----+-------+-------------+
产品 ：
+-------------+---------------+
| category_id | serial_number |
+-------------+---------------+
| 3 | 5461354631 |
| 3 | 4521516545 |
| 4 | 8513453217 |
| 6 | 1235624165 |
+-------------+---------------+
我想要的是创建一个视图以显示所有序列号及其类别路径：
+---------------+-------------------+
| serial_number | path |
+---------------+-------------------+
| 5461354631 | Cloth/Men's/Suits |
| 4521516545 | Cloth/Men's/Suits |
| 8513453217 | Cloth/Women's |
| 1235624165 | Electronics/TVs |
+---------------+-------------------+
生成此视图的最佳查询是什么？