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- W1980089391 abstract "We give a construction of the compact real form of the Lie algebra of type E6, using the finite irreducible subgroup of shape 33+3: SL3(3), which is isomorphic to a maximal subgroup of the orthogonal group Ω7(3). In particular we show that the algebra is uniquely determined by this subgroup. Conversely, we prove from first principles that the algebra satisfies the Jacobi identity, and thus give an elementary proof of existence of a Lie algebra of type E6. The compact real form of F4 is exhibited as a subalgebra." @default.
- W1980089391 created "2016-06-24" @default.
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- W1980089391 date "2013-01-01" @default.
- W1980089391 modified "2023-09-25" @default.
- W1980089391 title "On the compact real forms of the lie algebras of type E 6 and F 4" @default.
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- W1980089391 doi "https://doi.org/10.1134/s0037446613010205" @default.
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