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Clifford algebras with inverse?

  1. Sep 21, 2010 #1
    Hello,
    Let's assume we have a Clifford algebra of one of the following two kinds: [tex]\mathcal{C}\ell_{n,0}[/tex] or [tex]\mathcal{C}\ell_{0,n}[/tex].

    Is it possible to say which algebras will admit a multiplicative inverse for each multivector element?
     
  2. jcsd
  3. Sep 21, 2010 #2
    [tex]Cl_{0,1}=\bf{C}[/tex]
    [tex]Cl_{0,2}=\bf{H}[/tex]

    See the table on p. 11 in Atiyah, Bott, Shapiro "http://www.dleex.com/read/7878" [Broken]"
     
    Last edited by a moderator: May 4, 2017
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