Talk:Symplectic group

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Symmetric matrices are defined for complex entries only in the Wikipedia. --Andres.

Are we talking about Symmetric matrix or Symplectic matrix here? Phys

Sorry, I mean symplectic matrices. --Andres

Does anyone know which of the symplectic groups are simply connected? I know that Sp(1) and Sp(2, C) are, and that Sp(2, R) is not. I suspect this holds for all n, but I have no proof. -- Fropuff 16:04, 2004 May 20 (UTC)

Nevermind. What I said is correct, I know how to prove it now. -- Fropuff 14:28, 2004 May 28 (UTC)

I'm trying to pull together information on matrix groups and was wondering if someone could answer the following questions.

  • When is Sp(2n,F) simple?
  • What is the center of Sp(2n,F)?

In particular I'm interested in the case when F is finite, however if the results include R,C or all fields it would be useful to include them. TooMuchMath 17:47, 15 April 2006 (UTC)

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