Timeline for T-bundles and the Borel-Weil-Bott theorem

9 events

when toggle format	what		by	license	comment
Oct 29, 2011 at 19:59	history	edited	Faisal	CC BY-SA 3.0	added 9 characters in body
Oct 28, 2011 at 18:00	history	edited	Faisal	CC BY-SA 3.0	added 17 characters in body
Oct 28, 2011 at 17:58	comment	added	Faisal		Dear Jim- I agree: Bott's theorem seems out of reach. I think a fair assessment of the situation is that even though studying the quotient map $G/U \to G/B$ can naturally lead you to the line bundles $L_\lambda$, you still have to do some work to compute their cohomology.
Oct 28, 2011 at 17:13	comment	added	Jim Humphreys		P.S. It's not clear to me how close one gets here to Bott's Theorem, since that involves the Weyl group more heavily. In any case, the ongoing complications in prime characteristic are addressed in a recent MO question 78153.
Oct 28, 2011 at 15:44	history	edited	Allen Knutson	CC BY-SA 3.0	added name "Peter-Weyl"; deleted 5 characters in body
Oct 28, 2011 at 14:47	comment	added	Jim Humphreys		Besides being a nice approach to the ideas of B-W-B, this set-up carries over in many ways to analogous reductive algebraic groups in prime characteristic even though the finite dimensional highest weight representations involved are usually no longer irreducible (Weyl modules or dual Weyl modules).
Oct 28, 2011 at 13:27	vote	accept	unknown
Oct 28, 2011 at 8:18	history	edited	Faisal	CC BY-SA 3.0	added 1 characters in body
Oct 28, 2011 at 8:13	history	answered	Faisal	CC BY-SA 3.0