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Representations of Spinor Groups and the Difference Characters ofSO(2n)

✍ Scribed by Kazuhiko Koike

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 536 KB
Volume: 128
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1997.1625

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✦ Synopsis

Then we introduce the actual structure constant of type B n and C n . Let n B * +, & denote the multiplicity of * SO(2n+1) in the irreducible decomposition of the tensor product + SO(2n+1) & SO(2n+1) and n C * +, & denote the multiplicity of * Sp(2n) in the irreducible decomposition of the tensor product + Sp(2n) & Sp(2n) . Namely Definition 1.1. + SO(2n+1) & SO(2n+1) =: * n B * +, & * SO(2n+1) and + Sp(2n) & Sp(2n) =: * n C * +, & * Sp(2n) . * SO(2n+1) (x)= : *Â+ : horizontal strip *$+ + O(2n) (x). (5.2.11) * SO(2n+1) (x)= : *Â+ : vertical strip *$+ + Sp(2n) (x).

(5.2.12)

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