Timeline for Volume of PGL(2,F) \ PGL(2, A)
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 17, 2013 at 5:58 | comment | added | user30379 | Oesterle's 1984 Inventiones paper on Tamagawa numbers (see Inv. Math. 78) has a very elegant discussion of the normalization issues to define the Tamagawa measure and Tamagawa number for rather general smooth connected affine groups over global fields. His normalizations are not governed by maximal compact subgroups (as they ought not be, since typically there are a lot of non-conjugate such subgroups!). He also cleaned up some points of possible confusion that arose in earlier work by others in the case of tori. | |
| Mar 14, 2013 at 20:15 | vote | accept | Marc Palm | ||
| Mar 14, 2013 at 20:15 | comment | added | Marc Palm | Okay, I was interested more in the measure, which enters directly into dimension formulas of modular forms. But after all, your answer is correct and I actually was aware of Kottwitz's achievement. Thank you nevertheless. It seems that the normalisation enters by giving the maximal compact groups some non-unit normalization as in Gelbart-Jacquet. Thanks. | |
| Mar 14, 2013 at 18:53 | history | answered | user1688 | CC BY-SA 3.0 |