Timeline for A question on the representations of affine Hecke algebras
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 9, 2022 at 13:37 | history | edited | Martin Sleziak |
added the tag (hecke-algebras)
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| S Oct 9, 2022 at 13:37 | history | suggested | The Amplitwist | CC BY-SA 4.0 |
fixed broken link to springerlink.com; added full citation in tooltip
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| Oct 9, 2022 at 8:27 | review | Suggested edits | |||
| S Oct 9, 2022 at 13:37 | |||||
| Feb 4, 2011 at 0:03 | answer | added | Kevin McGerty | timeline score: 2 | |
| Feb 1, 2011 at 3:12 | comment | added | niesian | Yes, Thanks for your reminding. In my question, given a connected reductive group $G$, the affine Weyl group associated to $G$ is assumed to be the semidirect product of $W_0$ and $X$, where $W_0$ is the Weyl group of $G$, and $X$ is the group of charaters of a maximal torus of $G$. The affine Hecke algebra associated to $G$ is defined similarly. | |
| Jan 31, 2011 at 20:53 | comment | added | Jim Humphreys | I don't have an expert viewpoint on this work, but the overall goal is to understand representations of reductive groups over local fields. For this the representations of affine Hecke algebras (inspired by Iwahori-Matsumoto) play a big role. Each simple Lie type determines a single well-defined affine Weyl group, but there is also an extended version using the full weight lattice rather than just the root lattice. So you have to specify carefully how the isogeny type of your group interacts with the version of affine Weyl group and Hecke algebra formalism used. | |
| Jan 31, 2011 at 12:53 | history | edited | José Figueroa-O'Farrill | CC BY-SA 2.5 |
Fixed typos and added link to the paper.
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| Jan 31, 2011 at 1:18 | history | asked | niesian | CC BY-SA 2.5 |