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The Other Bruhat-Tits Buildings
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This chapter summarizes the results about the residues of Bruhat-Tits buildings other than those associated with the exceptional Moufang quadrangles examined in previous chapters. It first considers cases, for which it assumes that Λ is complete with respect to a discrete valuation in an appropriate sense. It then presents the Coxeter diagram of Ξ and the vertex set S of such diagram, along with the J-residue of the building Ξ, which is called a gem if J is the complement in the S of a special vertex. The chapter also discusses the structure of the gems of Ξ as well as cases in which the pseudo-quadratic space is defined to be ramified or unramified.
Princeton University Press
Title: The Other Bruhat-Tits Buildings
Description:
This chapter summarizes the results about the residues of Bruhat-Tits buildings other than those associated with the exceptional Moufang quadrangles examined in previous chapters.
It first considers cases, for which it assumes that Λ is complete with respect to a discrete valuation in an appropriate sense.
It then presents the Coxeter diagram of Ξ and the vertex set S of such diagram, along with the J-residue of the building Ξ, which is called a gem if J is the complement in the S of a special vertex.
The chapter also discusses the structure of the gems of Ξ as well as cases in which the pseudo-quadratic space is defined to be ramified or unramified.
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