Canonical Dimension of (semi-)spinor Groups of Small Ranks
نویسنده
چکیده
We show that the canonical dimension cd Spin2n+1 of the spinor group Spin2n+1 has an inductive upper bound given by n + cd Spin2n−1. Using this bound, we determine the precise value of cd Spin n for all n ≤ 16 (previously known for n ≤ 10). We also obtain an upper bound for the canonical dimension of the semi-spinor group cd Spin∼ n in terms of cd Spin n−2. This bound determines cdSpin ∼ n for n ≤ 16; for any n, assuming a conjecture on the precise value of cd Spin n−2, this bound determines cd Spin ∼ n .
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