The universal embedding dimension of the binary symplectic dual polar space (Q1869238)
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scientific article; zbMATH DE number 1896018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The universal embedding dimension of the binary symplectic dual polar space |
scientific article; zbMATH DE number 1896018 |
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The universal embedding dimension of the binary symplectic dual polar space (English)
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9 April 2003
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The authors prove a conjecture of A. E. Brouwer (1990) which states that the dimension of the universal embedding of the DSp\(_{2n}(2)\) dual polar space is \((2^n + 1)(2^{n - 1} + 1)/3\). This theorem was proved at the same time by \textit{Paul Li} [J. Comb. Theory, Ser. A 94, No. 1, 100-117 (2001; Zbl 0999.51002)], using a fundamentally different approach.
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universal embedding theorem
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dual polar space
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partition space
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