On the centre of Iwahori-Hecke algebras

نویسندگان

چکیده

We prove triviality of the centre arbitrary Hecke algebras irreducible non-finite non-affine type. This result is obtained as a consequence following structure for conjugacy classes underlying Coxeter groups. If W any infinite group and w∈W nontrivial element that assumed not to be translation in case affine, then there an sequence conjugates w by generators whose length non-decreasing tends infinity.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2023

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2023.06.010