Hilbert series, Howe duality and branching for classical groups
نویسندگان
چکیده
منابع مشابه
Hilbert series, Howe duality, and branching rules.
Let lambda be a partition, with l parts, and let F(lambda) be the irreducible finite dimensional representation of GL(m) associated to lambda when l < or = m. The Littlewood Restriction Rule describes how F(lambda) decomposes when restricted to the orthogonal group O(m) or to the symplectic group Sp(m2) under the condition that l < or = m2. In this paper, this result is extended to all partitio...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2004
ISSN: 0003-486X
DOI: 10.4007/annals.2004.159.337