Timeline for $\mathfrak{sl}_2(\mathbb{Z})$'s properties as a Lie algebra over a ring
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 6, 2021 at 6:50 | comment | added | Wilberd van der Kallen | One must choose a form of the $V_n$. For instance, one may define them to be symmetric powers of the standard two dimensional representation. Then $V_n\otimes V_m$ has a "good filtration" whose layers are given by Clebsch-Gordan. See the book of Jantzen (Representations of Algebraic Groups: Second Edition)? | |
| Aug 6, 2021 at 1:53 | comment | added | Joshua Grochow | Considering complex or integer representations (eg the Vn are defined over Z)? If integer representations, what do you mean by irreducibility? Eg the multiples of 2 in Vn form a nontrivial proper submodule. | |
| Aug 5, 2021 at 21:57 | comment | added | Catherine Li | @YCor Hello! I am referring to the $V_n$. | |
| Aug 5, 2021 at 21:47 | comment | added | YCor | In "they are no longer irreducible" what do you refer to as "they"? | |
| S Aug 5, 2021 at 19:31 | history | suggested | ArB |
added tag representation theory
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| Aug 5, 2021 at 19:29 | review | Suggested edits | |||
| S Aug 5, 2021 at 19:31 | |||||
| Aug 5, 2021 at 19:18 | review | First posts | |||
| Aug 5, 2021 at 19:30 | |||||
| Aug 5, 2021 at 19:13 | history | asked | Catherine Li | CC BY-SA 4.0 |