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Results tagged with symplectic-group
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user 56010
2
votes
0
answers
128
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Do involutions always stabilize some transverse lagrangians?
Let $V$ be a vector space of dimension $2n\geq 4$ over a field $F$ of characteristic distinct from $2$. Assume that $V$ is equipped with a nondegenerate alternating form $b$. Let $Sp(V)$ denote the sy …
- 367
3
votes
1
answer
219
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Generation of the symplectic by involutions
Let $G$ be a group. An involution is an element $g\in G$ such that $g^2=1$.
Let $F$ be a field, $V$ an $F$-vector space and $b:V\times V \rightarrow F$ a nondegenerate alternating bilinear form. The s …
- 367