Collections > Electronic Theses and Dissertations > Cohomology of Flag Varieties and the BK-Filtration

Let G be a complex algebraic group and let P be a parabolic subgroup of G. Let T(G/P) denote the cotangent bundle of the flag variety G/P. In this thesis we describe results connecting cohomology of bundles on T(G/P) to purely combinatorial objects such as filtrations on irreducible G-modules and Lusztig’s q-analog of weight multiplicity.