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- W4200182851 abstract "Let $mathfrak{g}$ be a complex simple Lie algebra and let $mathfrak{g}_0$ be the sub-algebra fixed by a diagram automorphism of $mathfrak{g}$. Let $G$ be the complex, simply-connected, simple algebraic group with Lie algebra $mathfrak{g}$, and let $G_0$ be the connected subgroup of $G$ with Lie algebra $mathfrak{g}_0$. Let $rho$ be the half sum of positive roots of $mathfrak{g}$. In this article, we give a necessary and sufficient condition for a highest weight $mathfrak{g}_0$-representation $V_0(dmu)$ to occur in the representation ${rm res}_{mathfrak{g}_0}V(drho)$, for any saturation factor $d$ of the pair $(G_0, G)$." @default.
- W4200182851 created "2021-12-31" @default.
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- W4200182851 date "2022-03-01" @default.
- W4200182851 modified "2023-10-18" @default.
- W4200182851 title "A note on branching of V(ρ)" @default.
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- W4200182851 doi "https://doi.org/10.1016/j.jalgebra.2021.11.033" @default.
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