Orthogonal tableaux and an insertion algorithm for SO(2n + 1)

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Orthogonal tableaux and an insertion algorithm for SO(2n + 1)

A new set of tableaux indexing the weights of the irreducible representations of SO(2n + 1) is presented. These tableaux are used to produce an insertion scheme which gives a combinatorial description of the decomposition of the kth tensor power of the natural action of SO(2n + I ) into irreducibles. In particular, the multiplicities in this decomposition are described explicitly. C 1990 Academ...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1990

ISSN: 0097-3165

DOI: 10.1016/0097-3165(90)90059-6