Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892779 | Journal of Geometry and Physics | 2015 | 19 Pages |
Abstract
Properties of relative traces and symmetrizing forms on chains of cyclotomic and affine Hecke algebras are studied. The study relies on the use of bases of these algebras which generalize a normal form for elements of the complex reflection groups G(m,1,n)G(m,1,n), m=1,2,…,∞m=1,2,…,∞, constructed by a recursive use of the Coxeter–Todd algorithm. Formulas for inducing, from representations of an algebra in the chain, representations of the next member of the chain are presented.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
O.V. Ogievetsky, L. Poulain d’Andecy,