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- W4300996670 abstract "We prove that the Grassmannian of totally isotropic $k$-spaces of the polar space associated to the unitary group $mathsf{SU}_{2n}(mathbb{F})$ ($nin mathbb{N}$) has generating rank ${2nchoose k}$ when $mathbb{F}ne mathbb{F}_4$. We also reprove the main result of Blok [Blok2007], namely that the Grassmannian of totally isotropic $k$-spaces associated to the symplectic group $mathsf{Sp}_{2n}(mathbb{F})$ has generating rank ${2nchoose k}-{2nchoose k-2}$, when $rm{Char}(mathbb{F})ne 2$." @default.
- W4300996670 created "2022-10-04" @default.
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- W4300996670 date "2010-10-01" @default.
- W4300996670 modified "2023-09-26" @default.
- W4300996670 title "The generating rank of the unitary and symplectic Grassmannians" @default.
- W4300996670 doi "https://doi.org/10.48550/arxiv.1010.0205" @default.
- W4300996670 hasPublicationYear "2010" @default.
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