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

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Heckenberger, Istvan ; Kolb, Stefan

关键词: quantum groups;    quantized flag manifolds;    Bernstein-Gelfand-Gelfand resolution;    de Rham complex;   

DOI  :  10.1016/j.geomphys.2007.07.005

来源: Elsevier

【 摘 要 】

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. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

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