The Recillas’s Conjecture on Szegö Kernels Associated to Harish-Chandra Modules
Pure and Applied Mathematics Journal
Volume 3, Issue 6-2, December 2014, Pages: 26-29
Received: Nov. 22, 2014; Accepted: Nov. 27, 2014; Published: Nov. 29, 2014
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Authors
Francisco Bulnes, Head of Research Department in Mathematics and Engineering, TESCHA, Chalco, Mexico
Kubo Watanabe, Researcher in Department of Mathematics, Osaka University, Osaka, Japan
Ronin Goborov, Department of Mathematics, Lomonosov Moscow State University, Moscow, Russia
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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.
Keywords
Curved Differential Operators, Deformed Category, Extended Functor, Generalized Verma Modules, Harish-Chandra Category, Recillas’s Conjecture
To cite this article
Francisco Bulnes, Kubo Watanabe, Ronin Goborov, The Recillas’s Conjecture on Szegö Kernels Associated to Harish-Chandra Modules, Pure and Applied Mathematics Journal. Special Issue: Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program. Vol. 3, No. 6-2, 2014, pp. 26-29. doi: 10.11648/j.pamj.s.2014030602.15
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