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• W2007100983 abstract "The decomposition of the spinor bundle of the spin Grassmann manifolds $G_{m,n}=SO(m+n)/SO(m)times SO(n)$ into irreducible representations of $mathfrak{so}(m)oplusmathfrak{so}(n)$ is presented. A universal construction is developed and the general statement is proven for $G_{2k+1,3}$, $G_{2k,4}$, and $G_{2k+1,5}$ for all $k$. The decomposition is used to discuss properties of the spectrum and the eigenspaces of the Dirac operator." @default.
• W2007100983 created "2016-06-24" @default.
• W2007100983 creator A5043855081 @default.
• W2007100983 date "2007-11-01" @default.
• W2007100983 modified "2023-09-24" @default.
• W2007100983 title "The decomposition of the spinor bundle of Grassmann manifolds" @default.
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• W2007100983 doi "https://doi.org/10.1063/1.2804760" @default.
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