Timeline for Questions to the proof of Proposition 9.3 in Humphreys “Representations of Semisimple Lie algebras in the BGG Category $\mathcal{O}$"

6 events

when toggle format	what		by	license	comment
Sep 26, 2020 at 7:59	history	edited	KKD	CC BY-SA 4.0	edited body
Sep 25, 2020 at 19:59	history	edited	KKD	CC BY-SA 4.0	edited body
Sep 25, 2020 at 15:51	comment	added	KKD		Guess (1) follows by $N=U(\mathfrak{g}_I).v$ and $v$ is a weight vector hence $\mathfrak{h}$-stable?
Sep 25, 2020 at 15:48	history	edited	KKD	CC BY-SA 4.0	added 99 characters in body
Sep 25, 2020 at 15:45	comment	added	KKD		Follows (2) by (1) and $\mathfrak{l}_I=\mathfrak{h}\oplus \mathfrak{n}_I \oplus \mathfrak{n}^-_I$, as this implies that every finite dimensional $U(\mathfrak{g}_I)$-module is also a finite dimensional $U(\mathfrak{l}_I)$-module?
Sep 25, 2020 at 15:38	history	asked	KKD	CC BY-SA 4.0