Mathematical Journal of Okayama University volume63 issue1
2021-01 発行

Rectangular Hall-Littlewood symmetric functions and a specific spin character

Aokage, Kazuya Department of Mathematics, National Institute of Technology, Ariake College
Publication Date
2021-01
Abstract
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[4] for the case of odd n. We consider the case n is even.
Keywords
symmetric group
symmetric function
projective representation
Comments
Mathematics Subject Classification. 20C30, 20C25, 05E05.