Timeline for Representations of a reductive Lie group vie central character and K-types
Current License: CC BY-SA 4.0
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| S Apr 17 at 10:07 | history | bounty ended | CommunityBot | ||
| S Apr 17 at 10:07 | history | notice removed | CommunityBot | ||
| Apr 16 at 4:48 | comment | added | Antonius | @Joseph: Thanks, that helps. | |
| Apr 14 at 19:19 | comment | added | Joseph | Perhaps it worth noting that for tempered representations with real infinitesimal character, the answer to your Question 1 is "yes". One can classify such representations by the smallest $K$-type. This is a theorem of Vogan. It is cited in this recent preprint, as Theorem 1.1: arxiv.org/pdf/2301.01004.pdf I am not enough of a representation theorist to know how this result changes when one replaces "tempered" by "unitary" in your question. | |
| Apr 9 at 8:14 | history | edited | Antonius | CC BY-SA 4.0 |
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| S Apr 9 at 8:05 | history | bounty started | Antonius | ||
| S Apr 9 at 8:05 | history | notice added | Antonius | Draw attention | |
| Apr 9 at 8:04 | history | edited | Antonius | CC BY-SA 4.0 |
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| Apr 5 at 4:19 | history | edited | Antonius | CC BY-SA 4.0 |
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| Apr 4 at 8:26 | history | edited | Antonius | CC BY-SA 4.0 |
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| Apr 4 at 8:09 | history | asked | Antonius | CC BY-SA 4.0 |