Timeline for Is there a comprehensive survey of the discrete series representation of a real reductive group?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 31 at 11:39 | vote | accept | Daniel Miller | ||
| Jul 14 at 14:36 | comment | added | coLaideronnette | @LSpice I mean, the semisimplicity condition in the work of Harish-Chandra(so does that in Knapp’s book) is for Lie groups, but not for reductive groups. And the work of Langlands shows that semisimple Lie groups share a lot of properties with (general!) reductive groups in the theory, then he replaced semisimple Lie groups by reductive groups in his work. So results in Knapp’s book are exactly what the asker wants. | |
| Jul 14 at 13:53 | comment | added | LSpice | I don't quite take your meaning—to me, "semisimple reductive groups" is a pleonasm. (By "non-semisimple reductive group" I meant "(non-semisimple), reductive group", not "non-(semisimple reductive group)".) All I meant was that the asker says that the reference to Knapp's book does not cover all that they want in that direction. | |
| Jul 14 at 13:15 | comment | added | coLaideronnette | @LSpice Note that Langlands replaced ‘semisimple Lie groups’ but not ‘semisimple reductive groups’ by real points of a reductive algebraic group over $\mathbf R$. So it’s not a problem of generality, but different working settings. | |
| Jul 14 at 12:49 | comment | added | LSpice | Knapp's book is on the list of references in the post. (The asker also mentions wanting to see an explicit discussion of the non-semisimple reductive case.) | |
| Jul 14 at 11:59 | history | edited | coLaideronnette | CC BY-SA 4.0 |
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| Jul 14 at 9:46 | history | edited | coLaideronnette | CC BY-SA 4.0 |
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| Jul 14 at 9:41 | history | answered | coLaideronnette | CC BY-SA 4.0 |