The solution of the field equations that involves non-flat differential operators (curved case) can be obtained as the extensions Φ+Szegö operators in G/K with G, a non-compact Lie group with K, compact. This could be equivalent in the context of the Harish-Chandra modules category to the obtaining of extensions in certain sense (Cousin complexes of sheaves of differential operators to their classification) of Verma modules as classifying spaces of these differential operators and their corresponding integrals through of geometrical integral transforms.
| Published in |
Pure and Applied Mathematics Journal (Volume 3, Issue 6-2)
This article belongs to the Special Issue Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program |
| DOI | 10.11648/j.pamj.s.2014030602.15 |
| Page(s) | 26-29 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2014. Published by Science Publishing Group |
Curved Differential Operators, Deformed Category, Extended Functor, Generalized Verma Modules, Harish-Chandra Category, Recillas’s Conjecture
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APA Style
Francisco Bulnes, Kubo Watanabe, Ronin Goborov. (2014). The Recillas’s Conjecture on Szegö Kernels Associated to Harish-Chandra Modules. Pure and Applied Mathematics Journal, 3(6-2), 26-29. https://doi.org/10.11648/j.pamj.s.2014030602.15
ACS Style
Francisco Bulnes; Kubo Watanabe; Ronin Goborov. The Recillas’s Conjecture on Szegö Kernels Associated to Harish-Chandra Modules. Pure Appl. Math. J. 2014, 3(6-2), 26-29. doi: 10.11648/j.pamj.s.2014030602.15
AMA Style
Francisco Bulnes, Kubo Watanabe, Ronin Goborov. The Recillas’s Conjecture on Szegö Kernels Associated to Harish-Chandra Modules. Pure Appl Math J. 2014;3(6-2):26-29. doi: 10.11648/j.pamj.s.2014030602.15
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Download@article{10.11648/j.pamj.s.2014030602.15,
author = {Francisco Bulnes and Kubo Watanabe and Ronin Goborov},
title = {The Recillas’s Conjecture on Szegö Kernels Associated to Harish-Chandra Modules},
journal = {Pure and Applied Mathematics Journal},
volume = {3},
number = {6-2},
pages = {26-29},
doi = {10.11648/j.pamj.s.2014030602.15},
url = {https://doi.org/10.11648/j.pamj.s.2014030602.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2014030602.15},
abstract = {The solution of the field equations that involves non-flat differential operators (curved case) can be obtained as the extensions Φ+Szegö operators in G/K with G, a non-compact Lie group with K, compact. This could be equivalent in the context of the Harish-Chandra modules category to the obtaining of extensions in certain sense (Cousin complexes of sheaves of differential operators to their classification) of Verma modules as classifying spaces of these differential operators and their corresponding integrals through of geometrical integral transforms.},
year = {2014}
}
TY - JOUR T1 - The Recillas’s Conjecture on Szegö Kernels Associated to Harish-Chandra Modules AU - Francisco Bulnes AU - Kubo Watanabe AU - Ronin Goborov Y1 - 2014/11/29 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.s.2014030602.15 DO - 10.11648/j.pamj.s.2014030602.15 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 26 EP - 29 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2014030602.15 AB - The solution of the field equations that involves non-flat differential operators (curved case) can be obtained as the extensions Φ+Szegö operators in G/K with G, a non-compact Lie group with K, compact. This could be equivalent in the context of the Harish-Chandra modules category to the obtaining of extensions in certain sense (Cousin complexes of sheaves of differential operators to their classification) of Verma modules as classifying spaces of these differential operators and their corresponding integrals through of geometrical integral transforms. VL - 3 IS - 6-2 ER -
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