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Induced representations and traces for chains of affine and cyclotomic Hecke algebras.
- Source :
-
Journal of Geometry & Physics . Jan2015, Vol. 87, p354-372. 19p. - Publication Year :
- 2015
-
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 ) , 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 87
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 99795822
- Full Text :
- https://doi.org/10.1016/j.geomphys.2014.07.005