W\ 
926] 
217 
- 
926. 
CORRECTED SEMINVARIANT TABLES FOR THE WEIGHTS 
11 AND 12. 
[From the American Journal of Mathematics, vol. xiv. (1892), pp. 195—200.] 
The tables in my paper, “ Seminvariant Tables,” American Journal of Mathematics, 
vol. vii. (1885), pp. 59—73, [831], are not in the best form, but the deviations present 
themselves only in a few columns of the tables for the weights 11 and 12, viz. in 
the former of these two columns, and in the latter a single column, ought to be 
replaced by linear combinations of other columns; there are, besides, columns which 
should be new named; in regard hereto, there is a point of theory which requires 
to be made clear. I remark that in each table the literal terms are in alphabetical 
order (AO); this is the proper order for the final terms, and although (as about to 
be explained) the proper order for the initial terms is the counter order (00), yet 
as the tables cannot be at the same time arranged in the one and the other order, 
I adhere to the AO as the proper arrangement for the terms of the tables; we 
have, however, to introduce the notion that, in general, it is not the top term of 
a column which is to be regarded as the initial term, and in connexion herewith 
to consider how the columns are to be named. An instance first presents itself 
for the weight 11: we have, see column 5 of the table for that weight here given, 
a seminvariant 
fff + 1 
Vj 
bci 
hdh 
beg — 5 
¥ 2 - J> 
c% — 16 
b 3 e- + 70; 
c. XIII. 
28