Vertices for Iwahori–Hecke algebras and the Dipper–Du conjecture

Let Hn denote the Iwahori–Hecke algebra corresponding to the symmetric group Sn. We set up a Green correspondence for bimodules of these Hecke algebras, and a Brauer correspondence between their blocks. We examine Specht modules for Hn and compute the vertex of certain Specht modules, before using t...

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Veröffentlicht in:	Proceedings of the London Mathematical Society 2019-08, Vol.119 (2), p.379-408
1. Verfasser:	Whitley, James R.
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Sprache:	eng
Schlagworte:	16G99 (secondary) 20C08 20C30 (primary)
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description	Let Hn denote the Iwahori–Hecke algebra corresponding to the symmetric group Sn. We set up a Green correspondence for bimodules of these Hecke algebras, and a Brauer correspondence between their blocks. We examine Specht modules for Hn and compute the vertex of certain Specht modules, before using this to give a complete classification of the vertices of blocks of Hn in any characteristic. Finally, we apply this classification to resolve the Dipper–Du conjecture about the structure of vertices of indecomposable Hn‐modules.
doi_str_mv	10.1112/plms.12230
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title	Vertices for Iwahori–Hecke algebras and the Dipper–Du conjecture
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