Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds

Details Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds

2006-11-16

arxiv.org/abs/math/0611507v1

Mathematics

Quantum Algebra

LaTeX2e, 44 pages

Scientific paper

10.1016/j.geomphys.2007.07.005

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.

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