Revision #726 → #1047 · back to history
addedBorel–Weil–Bott theorem (overview)28cbfe4ecd95
addedSetup: G, T, B, integral weight and associated line bundleae9da7b54868
addedDot action of the Weyl group centered at ρ84dbd40d4e40
addedDominant weightc3e552a3a15e
addedDichotomy for integral weights under dot action1c31af332191
addedBorel–Weil–Bott theorem (statement)f7a160e9f31e
addedCharacterization of case (1) and recovery of Borel–Weilf5ecb34cd09a
addedSL_2(C): sections of L_n as symmetric powers119118a80737
addedRepresentation theory of sl_2 via Riemann sphere6e12afdf88ab
addedKempf vanishing theorem7951a565ec4f
addedFailure of simplicity in positive characteristic; Mumford's example48665c71afd0
addedBorel–Weil theorem (overview)aca023428456
addedFlag variety and equivariant line bundle L_λe15e28ce245b
addedBorel–Weil theorem (precise statement)9bda6a415233
addedCharacter χ_λ and concrete description of sections of L_λc497e279d950
addedAction of G on holomorphic sections569c45ed4631
addedSL(2,C): characters, sections on CP^1 and weight vectors11409399b9da
addedWeight vectors as monomials of weight 2i−ndb5b011c65d5