Timeline for Is the GL(2,R)-representation of smooth, odd and 0-homogeneous functions on the punctured plane irreducible?
Current License: CC BY-SA 4.0
10 events
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| Jun 23, 2023 at 15:27 | comment | added | JaSch | Thank you! So this is the infinite dimensional subquotient you described. Thanks a lot! | |
| Jun 23, 2023 at 15:23 | comment | added | Peter Humphries | Yes, this is the discrete series representation of weight $2$. | |
| Jun 23, 2023 at 15:11 | comment | added | JaSch | Thanks so much, this has been really helpful! Maybe I am allowed a follow up question: In the even, positively 0-homogeneous case ($ \kappa_1=\kappa_2=0, s_1 = -1/2, s_2 = 1/2 $), there is a fairly obvious finite dimensional subrep, namely the trivial one $ \mathbb{C} $ embedded as constant functions. Is the quotient of the pricipal series rep modulo the trivial rep irreducible? | |
| Jun 22, 2023 at 10:06 | vote | accept | JaSch | ||
| Jun 22, 2023 at 3:28 | history | edited | Peter Humphries | CC BY-SA 4.0 |
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| Jun 22, 2023 at 0:54 | history | edited | Peter Humphries | CC BY-SA 4.0 |
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| Jun 21, 2023 at 20:44 | history | edited | Peter Humphries | CC BY-SA 4.0 |
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| Jun 21, 2023 at 20:29 | history | edited | Peter Humphries | CC BY-SA 4.0 |
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| Jun 21, 2023 at 19:40 | comment | added | JaSch | Thank you for this elaborate answer, I will read it in detail tomorrow! | |
| Jun 21, 2023 at 19:08 | history | answered | Peter Humphries | CC BY-SA 4.0 |