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Mozibur Ullah
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There are five real forms of the exceptional Lie group, $E_6$. Four of them are notated as in the following:

  • The split form as EI or $E_{6(6)}$

  • The quasi-split form as EII or $E_{6(2)}$

  • EIII or $E_{6(-14)}$

  • EIV or $E_{6(-26)}$

What do the annotations to $E_6$ actually indicate and are they also used for real forms for Lie groups in general?

There are five real forms of the exceptional Lie group, $E_6$. Four of them are notated as:

  • The split form as EI or $E_{6(6)}$

  • The quasi-split form as EII or $E_{6(2)}$

  • EIII or $E_{6(-14)}$

  • EIV or $E_{6(-26)}$

What do the annotations to $E_6$ actually indicate and are they also used for real forms for Lie groups in general?

There are five real forms of the exceptional Lie group, $E_6$. Four of them are notated as in the following:

  • The split form as EI or $E_{6(6)}$

  • The quasi-split form as EII or $E_{6(2)}$

  • EIII or $E_{6(-14)}$

  • EIV or $E_{6(-26)}$

What do the annotations to $E_6$ actually indicate and are they also used for real forms for Lie groups in general?

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Mozibur Ullah
  • 2.4k
  • 15
  • 21

What is meant by this notation of the real forms of $E_6$?

There are five real forms of the exceptional Lie group, $E_6$. Four of them are notated as:

  • The split form as EI or $E_{6(6)}$

  • The quasi-split form as EII or $E_{6(2)}$

  • EIII or $E_{6(-14)}$

  • EIV or $E_{6(-26)}$

What do the annotations to $E_6$ actually indicate and are they also used for real forms for Lie groups in general?