Young subgroup
From Encyclopedia of Mathematics
Let 
be a partition of 
into 
disjoint subsets. Then the corresponding Young subgroup of 
, the symmetric group on 
letters, is the subgroup
 |
where 
. Sometimes only the particular cases
 |
are meant where 
, where 
and 
is a partition of the natural number 
, i.e. 
, 
.
References
| [a1] | G.D. James, "The representation theory of the symmetric groups" , Springer (1978) pp. 13 |
| [a2] | A. Kerber, "Representations of permutation groups" , I , Springer (1971) pp. 17 |
How to Cite This Entry:
Young subgroup. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Young_subgroup&oldid=41926
Young subgroup. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Young_subgroup&oldid=41926