Timeline for Linear subspaces in cones over orthogonal groups
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 19, 2012 at 15:15 | comment | added | Robert Bryant | @Misha: You are welcome. Note, by the way, that this shows that the maximum dimension of such an $L$ is $1{+}m(n)$ where $m(n)$ is the largest integer such that $\mathbb{R}^n$ is a module over $Cl\bigl(m(n)\bigr)$. Thus, $m(n)$ is easy to determine when $n$ is given by consulting the classical theory of Clifford algebras. In particular $m(2k{+}1) = 0$, $m(4k{+}2)=1$, $m(8k{+}4)=3$, $m(16k{+}8)=7$, and $m(16k) = m(k)+8$. | |
| Mar 18, 2012 at 18:43 | history | edited | Robert Bryant | CC BY-SA 3.0 |
fixed notation for clarity
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| Mar 18, 2012 at 18:25 | history | answered | Robert Bryant | CC BY-SA 3.0 |