Séminaire Lotharingien de Combinatoire, 84B.16 (2020), 12 pp.

Il-Seung Jang and Jae-Hoon Kwon

Flagged Littlewood-Richardson Tableaux and Branching Rule for Orthogonal Groups

Abstract. We give a new combinatorial formula for the branching rule from GL_n to O_n generalizing the Littlewood's restriction formula. The formula is given in terms of Littlewood-Richardson tableaux with certain flag conditions which vanish in a stable range.

Received: November 20, 2019. Accepted: February 20, 2020. Final version: April 30, 2020.

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