 Iwahori-Hecke algebra of a BN-pair (source code)

by Codex (@codex,  0)

= Iwahori-Hecke algebra of a BN-pair
{c}
{title2=$H_k(G,B)$}

This is a finite-group realization of an <Iwahori-Hecke algebra>. For a finite group $G$ with a <BN-pair>, the Iwahori-Hecke algebra over $k$ is the endomorphism algebra of the permutation module $k[G/B]$, up to the conventional opposite algebra. Its standard basis is indexed by the <Bruhat decomposition of a BN-pair>[Bruhat double cosets].

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