Let H n denote the Iwahori–Hecke algebra corresponding to the symmetric group S n. We set up a Green correspondence for bimodules of these Hecke algebras, and a Brauer correspondence between their blocks. We examine Specht modules for H n and compute the vertex of certain Specht modules, before using this to give a complete classification of the vertices of blocks of H n in any characteristic. Finally, we apply this classification to resolve the Dipper–Du conjecture about the structure of vertices of indecomposable H n-modules.
Bibliographical note31 pages, v2 Minor corrections and corrected statement of Theorem 5.9
- 20C30 (Primary), 20C08, 16G99 (Secondary)
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