- Authors
- Year
- 1999
- Title
- A trace formula for the Iwahori-Hecke algebra
- Publisher
- s.n.
- Document type
- Working paper
- Faculty
- Faculty of Science (FNWI)
- Institute
- Korteweg-de Vries Institute for Mathematics (KdVI)
- Abstract
- The Iwahori-Hecke algebra has a canonicaltrace $\tau$. The trace is the evaluation at the identity element in the usual interpretation of the Iwahori-Hecke algebra as a sub-algebra of the convolution algebra of a p-adic semi-simple group. The Iwahori-Hecke algebra contains an important commutative sub-algebra ${\bf C}[\theta_x]$, that was described and studied by Bernstein, Zelevinski and Lusztig. In this note we compute the generating function for the value of $\tau$ on the basis $\theta_x$.
- Permalink
- http://hdl.handle.net/11245/1.427977

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