Timeline for Peter-Weyl vs. Schur-Weyl theorem
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 19, 2017 at 8:56 | answer | added | Dan Petersen | timeline score: 8 | |
| Apr 19, 2017 at 5:33 | comment | added | Dan Petersen | @ClaudioGorodski There is a bijection between irreducible representations of $S_n$ in characteristic zero and partitions $\lambda \vdash n$. The representation corresponding to a partition $\lambda$ is called a Specht module. | |
| Apr 19, 2017 at 0:25 | answer | added | Allen Knutson | timeline score: 24 | |
| Apr 18, 2017 at 19:25 | comment | added | Igor Khavkine | Is it too obvious to note that each of $\mathcal{O}(\mathrm{GL}(V))$ and $V^{\otimes n}$ carry distinct commuting group actions? Namely the first one has induced actions from both the left and right group multiplication of $\mathrm{GL}(V)$ on itself, while the $V^{\otimes n}$ summand of $T(V) = \bigoplus_{n=0 }^\infty V^{\otimes n}$ is acted on by $\mathrm{GL}(V)$ and $S_n$, where the former the former is the obvious action on the tensor product and the latter permutes the tensor factors. | |
| Apr 18, 2017 at 17:29 | comment | added | Claudio Gorodski | What is the Specht module associated to lambda? | |
| Apr 18, 2017 at 15:15 | history | asked | Dan Petersen | CC BY-SA 3.0 |