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 Exercise [11.07] 
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Joined: 12 Mar 2008, 10:57
Posts: 69
Location: India
Post Exercise [11.07]
1.ii=(\gamma_{2}\gamma_{3})(\gamma_{2}\gamma_{3})=-\gamma_{3}\gamma_{2}\gamma_{2}\gamma_{3}=-\gamma_{3}(-1)\gamma_{3}=\gamma_{3}\gamma_{3}=-1
2..jj=(\gamma_{3}\gamma_{1})(\gamma_{3}\gamma_{1})=-\gamma_{1}\gamma_{3}\gamma_{3}\gamma_{1}=-\gamma_{1}(-1)\gamma_{1}=\gamma_{1}\gamma_{1}=-1
3..kk=(\gamma_{1}\gamma_{2})(\gamma_{1}\gamma_{2})=-\gamma_{2}\gamma_{1}\gamma_{1}\gamma_{2}=-\gamma_{2}(-1)\gamma_{2}=\gamma_{2}\gamma_{2}=-1
4.ijk=(\gamma_{2}\gamma_{3})(\gamma_{3}\gamma_{1})(\gamma_{1}\gamma_{2})
=\gamma_{2}(\gamma_{3}\gamma_{3})(\gamma_{1}\gamma_{1})\gamma_{2}=\gamma_{2}(-1)(-1)\gamma_{2}=\gamma_{2}\gamma_{2}=-1


26 May 2008, 11:26
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