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- W3200073357 abstract "Abstract We show that the Tits index $E_{8,1}^{133}$ cannot be obtained by means of the Tits construction over a field with no odd degree extensions. The proof uses a general method coming from the theory of symmetric spaces. We construct two cohomological invariants, in degrees $6$ and $8$ , of the Tits construction and the more symmetric Allison–Faulkner construction of Lie algebras of type $E_8$ and show that these invariants can be used to detect the isotropy rank." @default.
- W3200073357 created "2021-09-27" @default.
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- W3200073357 date "2021-09-10" @default.
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- W3200073357 title "The Allison–Faulkner construction of" @default.
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- W3200073357 doi "https://doi.org/10.4153/s0008439521000813" @default.
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