Figure 7-19. The MacNeille completion of the Bruhat order of .
7.105. [3−] If the partitions λ and μ have the same multiset of hook lengths, does it follow that λ and μ are equal or conjugate?
 Let v1
, the partition with r
parts equal to c
. Find the expansion of in terms of Schur functions.
b. [3−] Fix r, c, and t. Let π = (πij ...