Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds
arXiv:math/0611507 · doi:10.1016/j.geomphys.2007.07.005
Abstract
The quantum group version of the Bernstein-Gelfand-Gelfand resolution is used to construct a double complex of U_q(g)-modules with exact rows and columns. The locally finite dual of its total complex is identified with the de Rham complex for quantized irreducible flag manifolds.
LaTeX2e, 44 pages