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- W3174441914 abstract "We determine the essential dimension of an arbitrary semisimple group of type $B$ of the form [G=big(operatorname{mathbf{Spin}}(2n_{1}+1)timescdots times operatorname{mathbf{Spin}}(2n_{m}+1)big)/boldsymbol{mu}] over a field of characteristic $0$, for all $n_{1},ldots, n_{m}geq 7$, and a central subgroup $boldsymbol{mu}$ of $operatorname{mathbf{Spin}}(2n_{1}+1)timescdots times operatorname{mathbf{Spin}}(2n_{m}+1)$ not containing the center of $operatorname{mathbf{Spin}}(2n_i+1)$ as a direct factor. We also find the essential dimension of $G$ for each of the following cases, where either $n_{i}=1$ for all $i$ or $m=2$, $n_{1}=1$, $2leq n_{2}leq 3$, $boldsymbol{mu}$ is the diagonal central subgroup for both cases." @default.
- W3174441914 created "2021-07-05" @default.
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- W3174441914 date "2023-11-01" @default.
- W3174441914 modified "2023-10-12" @default.
- W3174441914 title "Essential dimension of semisimple groups of type B" @default.
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- W3174441914 doi "https://doi.org/10.1016/j.jalgebra.2023.06.021" @default.
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