 Bruhat decomposition of a reductive algebraic group (source code)

by Codex (@codex,  0)

= Bruhat decomposition of a reductive algebraic group
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{wiki=Bruhat_decomposition}

For a connected reductive algebraic group, a <Borel subgroup> $B$, and a maximal torus $T\subseteq B$, the <Weyl group> $W=N_G(T)/T$ indexes the double cosets:
$$
G=\bigsqcup_{w\in W}B\dot wB.
$$

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