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- W2962843635 abstract "Let $${mathbb {F}}$$ be any field. The Grassmannian $${mathrm {Gr}}(m,n)$$ is the set of m-dimensional subspaces in $${mathbb {F}}^n$$ , and the general linear group $${mathrm {GL}}_n({mathbb {F}})$$ acts transitively on it. The Schubert cells of $${mathrm {Gr}}(m,n)$$ are the orbits of the Borel subgroup $${mathcal {B}} subset {mathrm {GL}}_n({mathbb {F}})$$ on $${mathrm {Gr}}(m,n)$$ . We consider the association scheme on each Schubert cell defined by the $${mathcal {B}}$$ -action and show it is symmetric and it is the generalized wreath product of one-class association schemes, which was introduced by Bailey (Eur J Comb 27(3):428–435, 2006)." @default.
- W2962843635 created "2019-07-30" @default.
- W2962843635 creator A5009880645 @default.
- W2962843635 date "2018-06-27" @default.
- W2962843635 modified "2023-09-24" @default.
- W2962843635 title "Association Schemes on the Schubert Cells of a Grassmannian" @default.
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- W2962843635 doi "https://doi.org/10.1007/s00373-018-1918-4" @default.
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