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Semi-ramified Quadrangles of Type E6, E7 and E8
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This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ is a Moufang semi-ramified quadrangle of type E⁶, E₇ and E₈. The basic proposition is that Ξ is a semi-ramified quadrangle if δΛ = 1 and δΨ = 2 holds. The chapter first considers the theorem supposing that ℓ = 6, that δΛ = 1 and δΨ = 2, and that the Moufang residues R0 and R1 are not both indifferent. This is followed by cases ℓ = 7 and ℓ = 8 as well as theorems concerning an anisotropic pseudo-quadratic space, a quaternion division algebra, standard involution, a proper involutory set, and isotropic and anisotropic quadratic spaces.
Princeton University Press
Title: Semi-ramified Quadrangles of Type E6, E7 and E8
Description:
This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ is a Moufang semi-ramified quadrangle of type E⁶, E₇ and E₈.
The basic proposition is that Ξ is a semi-ramified quadrangle if δΛ = 1 and δΨ = 2 holds.
The chapter first considers the theorem supposing that ℓ = 6, that δΛ = 1 and δΨ = 2, and that the Moufang residues R0 and R1 are not both indifferent.
This is followed by cases ℓ = 7 and ℓ = 8 as well as theorems concerning an anisotropic pseudo-quadratic space, a quaternion division algebra, standard involution, a proper involutory set, and isotropic and anisotropic quadratic spaces.
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