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- W4205919577 abstract "Let W 0 be a reflection subgroup of a finite complex reflection group W, and let B 0 and B be their respective braid groups. In order to construct a Hecke algebra H ˜ 0 for the normalizer N W (W 0 ), one first considers a natural subquotient B ˜ 0 of B which is an extension of N W (W 0 )/W 0 by B 0 . We prove that this extension is split when W is a Coxeter group, and deduce a standard basis for the Hecke algebra H ˜ 0 . We also give classes of both split and non-split examples in the non-Coxeter case." @default.
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- W4205919577 date "2021-12-15" @default.
- W4205919577 modified "2023-09-25" @default.
- W4205919577 title "Braid groups of normalizers of reflection subgroups" @default.
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- W4205919577 doi "https://doi.org/10.5802/aif.3440" @default.
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