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
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where . Sometimes only the particular cases
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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