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On Constructing Representations of the symmetric Groups
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Abstract
Let $G$ be a symmetric group. In this paper we describe a method that for a certain irreducible character $\chi$ of G it finds a subgroup $H$ such that the restriction of $\chi$ on $H$ has a linear constituent with multiplicity one. Then using a well known algorithm we can construct a representation of $G$ affording $\chi$.
참고문헌 (3)
- V. Dabbaghian-Abdoly, "Constructing representations of finite simple groups andcovers", 58, pp.23~38 (2006)
- James, "The representation theory of the symmetric group Encyclopedia of Mathematics and its Applications 16" (1981), Addison-Wesley Publishing co.
- James, "The representation theory of the symmetric group Encyclopedia of Mathematics and its Applications 16" (1981), Addison-Wesley Publishing co.
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