Multiplicity-free representations of symmetric groups
نویسندگان
چکیده
منابع مشابه
Multiplicity-free permutation representations of the symmetric group
We determine all the multiplicity-free representations of the symmetric group. This project is motivated by a combinatorial problem involving systems of set-partitions with a specific pattern of intersection.
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متن کاملA Classiication of Multiplicity Free Representations 1. Facts about Multiplicity Free Representations
Let G be a connected reductive linear algebraic group over C and let (; V) be a regular representation of G. There is a locally-nite representation (^ ; C V ]) on the aane algebra C V ] of V deened by ^ (g)f(v) = f(g ?1 v) for f 2 C V ]. Since G is reductive, (^ ; C V ]) decomposes as a direct sum of irreducible regular representations of G. The representation (; V) is said to be multiplicity f...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2009
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2008.12.009