Littlewood's Multiple formula for Spin Characters of Symmetric Groups

Hiroshi Mizukawa and Hiro-Fumi Yamada

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-26, 2001


Abstract

This note deals with some character values of the symmetric group as well as its double cover. Some observations of characters of these groups lead to what we call "Littlewood's Multiple Formula". Littlewood's multiple formula for characters of ordinary representations of symmetric groups in Littlewood's book. Our objective is the spin character version of Littlewood's multiple formula.


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