Tiling Branching Multiplicity Spaces With Gl pattern Blocks

Kim, Sangjib

doi:10.1017/s1446788712000560

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2018

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Cited by 2 publications

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“…Kim [Ki13] considered the unitary case when d ′ = 2. He gave a decomposition of the branching multiplicity space as a U(2)-module similar to (1.5).…”

Section: Introductionmentioning

confidence: 99%

On the SO(n + 3) to SO(n) branching multiplicity space

Bertone

2018

Comptes Rendus. Mathématique

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We study the decomposition as an SO(3)-module of the multiplicity space corresponding to the branching from SO(n + 3) to SO(n). Here, SO(n) (resp. SO (3)) is considered embedded in SO(n + 3) in the upper left-hand block (resp. lower right-hand block). We show that when the highest weight of the irreducible representation of SO(n) interlaces the highest weight of the irreducible representation of SO(n + 3), then the multiplicity space decomposes as a tensor product of ⌊(n + 2)/2⌋ reducible representations of SO(3).

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“…Kim [Ki13] considered the unitary case when d ′ = 2. He gave a decomposition of the branching multiplicity space as a U(2)-module similar to (1.5).…”

Section: Introductionmentioning

confidence: 99%