English

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

Quantum Algebra 2009-11-11 v1

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.

Keywords

Cite

@article{arxiv.math/0611507,
  title  = {Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds},
  author = {I. Heckenberger and S. Kolb},
  journal= {arXiv preprint arXiv:math/0611507},
  year   = {2009}
}

Comments

LaTeX2e, 44 pages