Mathematical Journal of Okayama University volume63 issue1
Department of Mathematics, National Institute of Technology, Ariake College
We derive the Schur function identities coming from the tensor products of the spin representations of the symmetric group Sn. We deal with the tensor products of the basic spin representation V (n) and any spin representation V λ (λ ∈ SP (n)). The characteristic map
of the tensor product ζn ⊗ ζλ is described by Stembridge for the case of odd n. We consider the case n is even.
Mathematics Subject Classiﬁcation. 20C30, 20C25, 05E05.