On the spectral decomposition of affine Hecke algebras
| dc.creator | Opdam, Eric M. | |
| dc.date | 2001-01-01 | |
| dc.date | 2003-09-18 | |
| dc.date.accessioned | 2026-07-07T04:39:27Z | |
| dc.date.available | 2026-07-07T04:39:27Z | |
| dc.description | An affine Hecke algebra H contains a large abelian subalgebra A. The center Z of H is the subalgebra of Weyl group invariant elements in A. The natural trace of the affine Hecke algebra can be written as an integral of a rational $n$ form (with values in the linear dual of H) over a certain cycle in the algebraic torus T=spec(A). We derive the Plancherel formula of the affine Hecke algebra by localization of this integral on a certain subset of spec(Z). | |
| dc.description | 137 pages. Improved notations, the introduction, applications and examples. Corrected a constant factor in Plancherel density product formula, and described the Fourier transform more appropriately. Above all, added an index of notations | |
| dc.identifier | https://arxiv.org/abs/math/0101007 | |
| dc.identifier | http://arxiv.org/abs/math/0101007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60671 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C08, 22D25, 22E35, 43A32 | |
| dc.title | On the spectral decomposition of affine Hecke algebras | |
| dc.type | text |