Induced representations and traces for chains of affine and cyclotomic Hecke algebras
| Authors |
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| Publication date | 2015 |
| Journal | Journal of Geometry and Physics |
| Volume | Issue number | 87 |
| Pages (from-to) | 354-372 |
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| 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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1016/j.geomphys.2014.07.005
(Final published version)
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