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Strictly upper triangular

Theorem. Let G be a group consisting of unipotent matrices. Then in some basis all elements of G are strictly upper triangular (i.e., zero below the diagonal and 1 on the diagonal). [Pg.72]

Proof. After conjugation, the group will be inside the group U (fc) of all strictly upper triangular matrices. All elements of U (fc) are unipotent, and U (fc) is closed. ... [Pg.73]

In any closed embedding of G in GL , some element of GL (fc) conjugates G to a closed subgroup of the strict upper triangular group U . [Pg.74]

Sheaf in fpqc topology 117 Smooth group scheme 88 Solvable group scheme 73 Spec A 41 Split torus 56 Strictly upper triangular 62 Subcomodule 23 Symplectic group 99... [Pg.88]


See other pages where Strictly upper triangular is mentioned: [Pg.73]    [Pg.76]    [Pg.85]    [Pg.39]    [Pg.123]    [Pg.129]    [Pg.393]    [Pg.73]    [Pg.76]    [Pg.85]    [Pg.39]    [Pg.123]    [Pg.129]    [Pg.393]    [Pg.172]    [Pg.182]    [Pg.13]   
See also in sourсe #XX -- [ Pg.62 ]




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