Proceedings of the International Conference on Geometry, Integrability and Quantization

Geometric Quantization, Cohomology Groups and Intertwining Operators

Petro I. Holod and T. V. Skrypnyk

Abstract

Higher Dolbeaut cohomology groups of the flag manifolds are explicitly constructed using the technique of the intertwining operators. The integral representation for the higher order harmonic forms is obtained

Article information

Source
Proceedings of the International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2000), 95-104

Dates
First available in Project Euclid: 5 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1433524880

Digital Object Identifier
doi:10.7546/giq-1-2000-95-104

Mathematical Reviews number (MathSciNet)
MR1758155

Zentralblatt MATH identifier
1018.53042

Citation

Holod, Petro I.; Skrypnyk, T. V. Geometric Quantization, Cohomology Groups and Intertwining Operators. Proceedings of the International Conference on Geometry, Integrability and Quantization, 95--104, Coral Press Scientific Publishing, Sofia, Bulgaria, 2000. doi:10.7546/giq-1-2000-95-104. https://projecteuclid.org/euclid.pgiq/1433524880


Export citation