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- W2041267507 abstract "The Curtis–Tits–Phan theory as laid out originally by Bennett and Shpectorov describes a way to employ Tits' lemma to obtain presentations of groups related to buildings as the universal completion of an amalgam of low-rank groups. It is formulated in terms of twin-buildings, but all concrete results so far were concerned with spherical buildings only. We describe an explicit flip–flop geometry for the twin-building of type A ˜ n − 1 associated to k [ t , t −1 ] on which a unitary group SU n ( k [ t , t −1 ] , β ) , related to a certain non-degenerate hermitian form β , acts flag-transitively and obtain a presentation for this group in terms of a rank-2 amalgam consisting of unitary groups. This is the most natural generalization of the original result by Phan for the unitary groups." @default.
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- W2041267507 date "2009-02-01" @default.
- W2041267507 modified "2023-10-14" @default.
- W2041267507 title "A Curtis–Tits–Phan theorem for the twin-building of type <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mover accent=true><mml:mi>A</mml:mi><mml:mo>˜</mml:mo></mml:mover><mml:mrow><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>" @default.
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- W2041267507 doi "https://doi.org/10.1016/j.jalgebra.2008.11.025" @default.
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