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Lie Group sans Identity Matrix

  1. Aug 12, 2009 #1

    Pythagorean

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    Is there a name for studying a Lie "group" that doesn't use the identity matrix as a member of the group?

    I know it's not technically a group anymore, but is there any mathematical work pertaining to the general idea... and what is the terminology so that I can research it better?
     
  2. jcsd
  3. Aug 12, 2009 #2
    If there is no identity then there are no inverses, so at best you'll be left with a semigroup.
     
  4. Aug 13, 2009 #3

    Pythagorean

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    thanks! "Semigroup" led me to "magma", which is more the generalized concept I was thinking of. <3 Wiki.
     
  5. Aug 14, 2009 #4

    George Jones

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