是的，我们不说 the book of me, the school of us，但说 on either side of him 是完合可以的。比如下面的句子均来自词典：

(1) On each side of me was a figure in khaki. 我两边各有一个穿卡其布服装的人。

(2) Stand on this side of me so Dad can get a photo. 站到我这边来，让爸爸来拍一张照片。

(3) a photograph with me in the centre and Joe and Ken on each side of me 我居中、乔和肯分别在我两侧的一张照片

(4) Unfortunately I was sitting at the table with smokers on either side of me. 真倒楣，餐桌上坐在我两边的人都抽烟。