Timeline for Complete representation theory of $\mathrm{SL}(2,\mathbb R)$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jan 31, 2023 at 10:13 | comment | added | Arnold Neumaier | @DavidBen-Zvi: This would make the infinite-dimensional nonunitary case also interesting for me. | |
| Jan 30, 2023 at 1:12 | comment | added | David Ben-Zvi | The infinite dimensional representation theory is MUCH more complicated and rich. Usually one restricts to admissible representations (a class with some strong finiteness conditions which includes all irreducible unitaries) and then there's an explicit and complete classification. Without that it's messy. Representations of the Lie algebra for example is classified in terms of algebraic modules for rings of differential operators on the projective line, but in general I'm not sure in what sense they are "classified". | |
| Jan 29, 2023 at 23:04 | answer | added | Callum | timeline score: 4 | |
| Jan 24, 2023 at 13:21 | history | edited | Arnold Neumaier | CC BY-SA 4.0 |
added 'projective'
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| Jan 24, 2023 at 8:09 | answer | added | Romain Gicquaud | timeline score: 2 | |
| Jan 23, 2023 at 19:06 | history | edited | LSpice |
[tag:reference-request]
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| Jan 23, 2023 at 16:23 | history | edited | YCor | CC BY-SA 4.0 |
formatting; edited tags
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| Jan 23, 2023 at 16:21 | comment | added | Arnold Neumaier | @SamHopkins: The finite-dimensional case is of most importance to me. But if there are interesting differences in the infinite-dimensional case I'd be interested in these as well. | |
| Jan 23, 2023 at 16:19 | comment | added | Sam Hopkins | Are you talking only about finite-dimensional representations? | |
| Jan 23, 2023 at 16:15 | history | asked | Arnold Neumaier | CC BY-SA 4.0 |