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Curtis-Phan-Tits Theory
[chapter]
2003
Groups, Combinatorics and Geometry
We demonstrate that there is a relation between the Curtis-Tits theorem and Phan's theorems that goes beyond the similarity in appearance. We present a geometric construction connecting those theorems and suggesting that Phan's theorems can be thought of as "twisted versions" of the Curtis-Tits theorem. The construction itself further suggests that Phan's theorems are only some of many possible such theorems. We make this explicit by presenting a new Phan-type theorem for the symplectic groups.
doi:10.1142/9789812564481_0002
fatcat:sikj24xnrrdgvpwgmtoh7j4hmy