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- W2783171811 abstract "Based on the direct-sum-decomposition of the $r^{text{th}}$ tensor power of the defining representation of the special orthogonal group $mathrm{SO}(2k+1)$ one is interested in a bijective approach for determining the Frobenius characters of the isotypic components. In particular this leads us to a bijection between vacillating tableaux and pairs of standard Young tableaux and orthogonal Littlewood-Richardson tableaux, which we present for $mathrm{SO}(3)$. Moreover we introduce the descent set of a vacillating tableau. As our bijection preserves this descent set, we also obtain the quasi-symmetric expansion of the Frobenius characters." @default.
- W2783171811 created "2018-01-26" @default.
- W2783171811 creator A5018335663 @default.
- W2783171811 date "2018-01-11" @default.
- W2783171811 modified "2023-09-27" @default.
- W2783171811 title "A Sundaram type bijection for $mathrm{SO}(3)$: vacillating tableaux and pairs of standard Young tableaux and orthogonal Littlewood-Richardson tableaux" @default.
- W2783171811 hasPublicationYear "2018" @default.
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