1. May 24, 2009 #1

   kaksmet

   

   Hey
   
   Does anyone know where I can find the generators of the group of rotations in four dimensions?
   
   thanks!

    

   kaksmet, May 24, 2009
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3. May 24, 2009 #2

   matt grime

   

   Science Advisor

   Homework Helper

   The group of all rotation of R^4? That has an uncountable set of generators - I don't think you want to find those.

    

   matt grime, May 24, 2009
4. Jun 1, 2009 #3

   kaksmet

   

   only needed a set of six that did generate the entire group. Found them, rotations "around planes" instead of around axes. thanks anyway.

    

   kaksmet, Jun 1, 2009
5. Jun 1, 2009 #4

   George Jones

   

   Staff Emeritus

   Science Advisor

   Gold Member

   This is an example of miscommunication between pure mathematicians and theoretical physicists, for whom the term "generators of the group" means quite different things.
   
   Here, I think kaksmet was looking for a basis for the 6-dimensional Lie algebra of the Lie group of rotations on R^4.

    

   George Jones, Jun 1, 2009

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